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However, there are theories in which no saddle point exists. In this paper, we revisit the idea of constrained instantons, proposed initially by Affleck in 1981, and develop it into a complete method for computing the vacuum decay rate in such cases. We apply this approach to the massive scalar field theory with a negative quartic self-interaction using two different constraints. We solve the field equations numerically and find a two-branch structure, with two distinct solutions for each value of the constraint. By counting the negative modes, we identify one branch of solutions as the constrained instantons and the other as the minima of the action subject to the constraint. We discuss their significance for the computation of the vacuum decay rate."}],"arxiv_eprints":[{"categories":["hep-th","math-ph","nlin.PS"],"value":["10.1007/JHEP04(2026)017","2510.21922"]}],"authors":[{"affiliations":[{"country":"United Kingdom","organization":"Imperial College London","value":"Abdus Salam Centre for Theoretical Physics, Imperial College London, London, SW7 2AZ, UK"}],"email":null,"full_name":null,"given_names":"Benjamin","surname":"Elder"},{"affiliations":[{"country":"United Kingdom","organization":"Imperial College London","value":"Abdus Salam Centre for Theoretical Physics, Imperial College London, London, SW7 2AZ, UK"}],"email":null,"full_name":null,"given_names":"Kinga","surname":"Gawrych"},{"affiliations":[{"country":"Switzerland","organization":"Theoretical Physics Department, CERN","value":"Theoretical Physics Department, CERN, Geneva 23, 1211, Switzerland"},{"country":"United Kingdom","organization":"Imperial College London","value":"Abdus Salam Centre for Theoretical Physics, Imperial College London, London, SW7 2AZ, UK"}],"email":null,"full_name":null,"given_names":"Arttu","surname":"Rajantie"}],"collections":[{"primary":"Journal of High Energy Physics"}],"control_number":106061,"copyright":[{"statement":"","holder":"The Author(s)","year":2026}],"dois":[{"value":"10.1007/JHEP04(2026)017"},{"value":"2510.21922"}],"imprints":[{"date":null,"publisher":"Springer"}],"license":[{"license":"CC-BY-4.0","url":"http://creativecommons.org/licenses/by/4.0/"}],"page_nr":[30],"publication_info":[{"artid":"JHEP04(2026)017","journal_issue":"4","journal_title":"Journal of High Energy Physics","journal_volume":"2026","page_end":"30","page_start":"1","year":"2026"}],"record_creation_date":"2026-04-02T06:55:39.781890","titles":[{"source":"Springer","title":"Constrained instantons in scalar field theories"}]},"updated":"2026-04-02T07:08:08.817317+00:00","id":106061,"created":"2026-04-02T06:55:39.781890"},{"metadata":{"_files":[{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)006/13130_2026_Article_28578.xml.scoap.xml","key":"13130_2026_Article_28578.xml.scoap","filetype":"xml"},{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)006/13130_2026_Article_28578_a.pdf","key":"13130_2026_Article_28578_a","filetype":"pdf"}],"abstracts":[{"source":"Springer","value":"In this work we consider the scattering between non-relativistic particles with different finite sizes. We first calculate their interaction potential and apply the partial wave method to obtain their scattering cross section. Our findings show that the particle size can significantly affect the scattering between non-relativistic particles. Then we apply such a study to direct detection of puffy dark matter. We find that the finite size of the target nucleus may introduce non-perturbative effects that differ from the scenario of point-like dark matter. For large-size dark matter particles, this non-perturbative regime in the dark matter-nucleus scattering cross section effectively disappears; while for small values of the size-to-range ratio in the scattering process, a significant non-perturbative regime can maintain. Finally, for the direct detection of nugget-type puffy dark matter with a small number of constituent particles, we find that the stability conditions for the formation of bound-state dark matter can provide constraints on the dark matter-nucleus scattering cross section."}],"arxiv_eprints":[{"categories":["hep-ph","astro-ph.CO","hep-ex"],"value":["10.1007/JHEP04(2026)006","2510.10641"]}],"authors":[{"affiliations":[{"country":"China","organization":"Chengdu Technological University","value":"School of Electronic Engineering, Chengdu Technological University, Chengdu, 611730, P. R. China"}],"email":null,"full_name":null,"given_names":"Wu-Long","surname":"Xu"},{"affiliations":[{"country":"China","organization":"Chinese Academy of Sciences","value":"Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, 100190, P. R. China"},{"country":"China","organization":"Henan Normal University","value":"Center for Theoretical Physics, Henan Normal University, Xinxiang, 453007, P. R. China"}],"email":null,"full_name":null,"given_names":"Jin","surname":"Yang"},{"affiliations":[{"country":"China","organization":"Henan University","value":"School of Physics and Electronics, Henan University, Kaifeng, 475004, P. R. China"}],"email":null,"full_name":null,"given_names":"Jun","surname":"Zhao"}],"collections":[{"primary":"Journal of High Energy Physics"}],"control_number":106062,"copyright":[{"statement":"","holder":"The Author(s)","year":2026}],"dois":[{"value":"10.1007/JHEP04(2026)006"},{"value":"2510.10641"}],"imprints":[{"date":null,"publisher":"Springer"}],"license":[{"license":"CC-BY-4.0","url":"http://creativecommons.org/licenses/by/4.0/"}],"page_nr":[21],"publication_info":[{"artid":"JHEP04(2026)006","journal_issue":"4","journal_title":"Journal of High Energy Physics","journal_volume":"2026","page_end":"21","page_start":"1","year":"2026"}],"record_creation_date":"2026-04-02T06:55:40.501251","titles":[{"source":"Springer","title":"Scattering of non-relativistic finite-size particles and puffy dark matter direct detection"}]},"updated":"2026-04-02T07:08:19.339075+00:00","id":106062,"created":"2026-04-02T06:55:40.501251"},{"metadata":{"_files":[{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)011/13130_2026_Article_28583.xml.scoap.xml","key":"13130_2026_Article_28583.xml.scoap","filetype":"xml"},{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)011/13130_2026_Article_28583_a.pdf","key":"13130_2026_Article_28583_a","filetype":"pdf"}],"abstracts":[{"source":"Springer","value":"We investigate the physics reach and potential for the study of $\\textit{B}$-meson decays to invisible final states at the Future Circular Collider running electron-positron collisions at the $\\textit{Z}$ pole (FCC-ee). Signal and background candidates are simulated for a proposed multipurpose detector, including inclusive contributions from $\\textit{Z}$ decays to leptons or quarks. Signal candidates are selected by a mixture of rectangular cuts and a multiclass boosted decision tree classifier."}],"arxiv_eprints":[{"categories":["hep-ex"],"value":["10.1007/JHEP04(2026)011","2508.04471"]}],"authors":[{"affiliations":[{"country":"United Kingdom","organization":"University of Cambridge","value":"Cavendish Laboratory, University of Cambridge, JJ Thomson Avenue, Cambridge, UK"}],"email":null,"full_name":null,"given_names":"P.","surname":"Alvarez Cartelle"},{"affiliations":[{"country":"United Kingdom","organization":"University of Cambridge","value":"Cavendish Laboratory, University of Cambridge, JJ Thomson Avenue, Cambridge, UK"}],"email":null,"full_name":null,"given_names":"M.","surname":"Kenzie"},{"affiliations":[{"country":"United Kingdom","organization":"University of Cambridge","value":"Cavendish Laboratory, University of Cambridge, JJ Thomson Avenue, Cambridge, UK"}],"email":null,"full_name":null,"given_names":"R.","surname":"Mangrulkar"},{"affiliations":[{"country":"United Kingdom","organization":"University of Manchester","value":"Department of Physics and Astronomy, University of Manchester, Oxford Road, Manchester, UK"}],"email":null,"full_name":null,"given_names":"A.","surname":"Wiederhold"},{"affiliations":[{"country":"United Kingdom","organization":"University of Cambridge","value":"Cavendish Laboratory, University of Cambridge, JJ Thomson Avenue, Cambridge, UK"}],"email":null,"full_name":null,"given_names":"E.","surname":"Wood"}],"collections":[{"primary":"Journal of High Energy Physics"}],"control_number":106060,"copyright":[{"statement":"","holder":"The Author(s)","year":2026}],"dois":[{"value":"10.1007/JHEP04(2026)011"},{"value":"2508.04471"}],"imprints":[{"date":null,"publisher":"Springer"}],"license":[{"license":"CC-BY-4.0","url":"http://creativecommons.org/licenses/by/4.0/"}],"page_nr":[23],"publication_info":[{"artid":"JHEP04(2026)011","journal_issue":"4","journal_title":"Journal of High Energy Physics","journal_volume":"2026","page_end":"23","page_start":"1","year":"2026"}],"record_creation_date":"2026-04-02T06:55:39.686303","titles":[{"source":"Springer","title":"Prospects of searches for invisible $\\textit{B}$-meson decays at FCC-ee"}]},"updated":"2026-04-02T07:08:07.519760+00:00","id":106060,"created":"2026-04-02T06:55:39.686303"},{"metadata":{"_files":[{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)003/13130_2026_Article_28575.xml.scoap.xml","key":"13130_2026_Article_28575.xml.scoap","filetype":"xml"},{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)003/13130_2026_Article_28575_a.pdf","key":"13130_2026_Article_28575_a","filetype":"pdf"}],"abstracts":[{"source":"Springer","value":"Decay of a scalar condensate via interactions with (quasi-)particles is of interest to many fields in physics, including cosmology. In cosmology, the decay of an inflaton condensate leads to the production of daughter particles and reheating of the Universe. In computing the decay rate, two quantum field theoretic approaches can be found in the literature: one is based on parametric resonance of mode functions of the daughter particle; another is based on the $\\textit{S}$-matrix of a coherent state and Feynman-diagrammatic perturbation theory. We modify the latter from the previous literature in a way that manifests what we are computing and does not include unwanted Feynman diagrams. We notice the equivalence of these two approaches and demonstrate it by explicitly computing the decay rate at lower orders in the double expansion of the amplitude of coherent oscillation (or narrow resonance) and velocity of the daughter particle."}],"arxiv_eprints":[{"categories":["hep-ph"],"value":["10.1007/JHEP04(2026)003","2509.18995"]}],"authors":[{"affiliations":[{"country":"Poland","organization":"University of Warsaw","value":"Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, ul. Pasteura 5, Warsaw, PL-02-093, Poland"}],"email":null,"full_name":null,"given_names":"Ayuki","surname":"Kamada"},{"affiliations":[{"country":"Japan","organization":"Tohoku University","value":"Department of Physics, Tohoku University, Sendai, Miyagi, 980-8578, Japan"},{"country":"Poland","organization":"University of Warsaw","value":"Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, ul. Pasteura 5, Warsaw, PL-02-093, Poland"},{"country":"Japan","organization":"Tsuruoka College","value":"National Institute of Technology, Tsuruoka College, Tsuruoka, Yamagata, 997-0842, Japan"}],"email":null,"full_name":null,"given_names":"Kodai","surname":"Sakurai"}],"collections":[{"primary":"Journal of High Energy Physics"}],"control_number":106058,"copyright":[{"statement":"","holder":"The Author(s)","year":2026}],"dois":[{"value":"10.1007/JHEP04(2026)003"},{"value":"2509.18995"}],"imprints":[{"date":null,"publisher":"Springer"}],"license":[{"license":"CC-BY-4.0","url":"http://creativecommons.org/licenses/by/4.0/"}],"page_nr":[31],"publication_info":[{"artid":"JHEP04(2026)003","journal_issue":"4","journal_title":"Journal of High Energy Physics","journal_volume":"2026","page_end":"31","page_start":"1","year":"2026"}],"record_creation_date":"2026-04-02T06:55:39.692692","titles":[{"source":"Springer","title":"Decay of a scalar condensate in two different approaches"}]},"updated":"2026-04-02T06:58:33.568488+00:00","id":106058,"created":"2026-04-02T06:55:39.692692"},{"metadata":{"_files":[{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)007/13130_2026_Article_28579.xml.scoap.xml","key":"13130_2026_Article_28579.xml.scoap","filetype":"xml"},{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)007/13130_2026_Article_28579_a.pdf","key":"13130_2026_Article_28579_a","filetype":"pdf"}],"abstracts":[{"source":"Springer","value":"We study the approach to equilibrium of bottomonium in the quark-gluon plasma within the open quantum system framework. We perform large-scale simulations of the long-time behavior in three dimensions using the quantum trajectory method to observe the emergence of steady states and determine the timescale of thermalization in position-, angular-momentum-, and color-space. We find that the thermalization timescale increases with decreasing temperature and decreasing coupling to the medium, which is given by transport coefficients of the medium. Additionally, we observe that the steady states exhibit small corrections to the Gibbs state due to medium interactions and show that these corrections diminish for weaker medium coupling and higher temperature. At a temperature of 450 MeV, quarkonium relaxes to a state that is approximately thermal, with the most significant correction being a smaller overlap of the 1$\\textit{S}$ state with respect to the Gibbs state. We compare these findings with the master equation obtained at leading order in the expansion of the binding energy over the temperature, which we find to have a trivial steady state."}],"arxiv_eprints":[{"categories":["hep-ph","nucl-ex","nucl-th"],"value":["10.1007/JHEP04(2026)007","2508.11743"]}],"authors":[{"affiliations":[{"country":"Germany","organization":"Technische Universität München","value":"Institute for Advanced Study, Technische Universität München, Lichtenbergstrasse 2 a, Garching, 85748, Germany"},{"country":"Germany","organization":"Technische Universität München","value":"Munich Data Science Institute, Technische Universität München, Walther-von-Dyck-Strasse 10, Garching, 85748, Germany"},{"country":"Germany","organization":"Technical University of Munich","value":"Physics Department, TUM School of Natural Sciences, Technical University of Munich, James-Franck-Strasse 1, Garching, 85748, Germany"}],"email":null,"full_name":null,"given_names":"Nora","surname":"Brambilla"},{"affiliations":[{"country":"Germany","organization":"Technical University of Munich","value":"Physics Department, TUM School of Natural Sciences, Technical University of Munich, James-Franck-Strasse 1, Garching, 85748, Germany"}],"email":null,"full_name":null,"given_names":"Tom","surname":"Magorsch"},{"affiliations":[{"country":"Germany","organization":"Technical University of Munich","value":"Physics Department, TUM School of Natural Sciences, Technical University of Munich, James-Franck-Strasse 1, Garching, 85748, Germany"}],"email":null,"full_name":null,"given_names":"Antonio","surname":"Vairo"}],"collections":[{"primary":"Journal of High Energy Physics"}],"control_number":106063,"copyright":[{"statement":"","holder":"The Author(s)","year":2026}],"dois":[{"value":"10.1007/JHEP04(2026)007"},{"value":"2508.11743"}],"imprints":[{"date":null,"publisher":"Springer"}],"license":[{"license":"CC-BY-4.0","url":"http://creativecommons.org/licenses/by/4.0/"}],"page_nr":[34],"publication_info":[{"artid":"JHEP04(2026)007","journal_issue":"4","journal_title":"Journal of High Energy Physics","journal_volume":"2026","page_end":"34","page_start":"1","year":"2026"}],"record_creation_date":"2026-04-02T06:55:39.692447","titles":[{"source":"Springer","title":"Thermalization of bottomonium in the quark-gluon plasma"}]},"updated":"2026-04-02T07:08:20.816454+00:00","id":106063,"created":"2026-04-02T06:55:39.692447"},{"metadata":{"_files":[{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)001/13130_2026_Article_28573.xml.scoap.xml","key":"13130_2026_Article_28573.xml.scoap","filetype":"xml"},{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)001/13130_2026_Article_28573_a.pdf","key":"13130_2026_Article_28573_a","filetype":"pdf"}],"abstracts":[{"source":"Springer","value":"We study bulk locality constraints in quantum field theories in AdS . The known derivation of locality sum rules in AdS does not apply for $\\textit{d}$ = 1 due to the different singularity structure of the conformal blocks and the inequivalence of operator orderings on the boundary. Assuming unitarity and a mild growth condition, we establish power-law bounds for correlators, derive dispersion relations and an expansion in terms of “even” and “odd” local blocks that converges in the entire AdS . These yield two novel families of symmetric and antisymmetric locality sum rules. We test these sum rules explicitly in the free scalar field theory."}],"arxiv_eprints":[{"categories":["hep-th","hep-ph"],"value":["10.1007/JHEP04(2026)001","2511.20749"]}],"authors":[{"affiliations":[{"country":"Switzerland","organization":"École Polytechnique Fédéral de Lausanne (EPFL)","value":"Fields and Strings Laboratory, Institute of Physics, École Polytechnique Fédéral de Lausanne (EPFL), Route de la Sorge, Lausanne, CH-1015, Switzerland"},{"country":"Italy","organization":"University of Turin","value":"Istituto Nazionale di Fisica Nucleare, Sezione di Torino, and Department of Physics, University of Turin, Via P. Giuria 1, Turin, 10125, Italy"}],"email":null,"full_name":null,"given_names":"Manuel","surname":"Loparco"},{"affiliations":[{"country":"Switzerland","organization":"École Polytechnique Fédéral de Lausanne (EPFL)","value":"Fields and Strings Laboratory, Institute of Physics, École Polytechnique Fédéral de Lausanne (EPFL), Route de la Sorge, Lausanne, CH-1015, Switzerland"}],"email":null,"full_name":null,"given_names":"Grégoire","surname":"Mathys"},{"affiliations":[{"country":"Switzerland","organization":"École Polytechnique Fédéral de Lausanne (EPFL)","value":"Fields and Strings Laboratory, Institute of Physics, École Polytechnique Fédéral de Lausanne (EPFL), Route de la Sorge, Lausanne, CH-1015, Switzerland"}],"email":null,"full_name":null,"given_names":"João","surname":"Penedones"},{"affiliations":[{"country":"Japan","organization":"Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, The University of Tokyo","value":"Kavli Institute for the Physics and Mathematics of the Universe (WPI), The University of Tokyo Institutes for Advanced Study, The University of Tokyo, Kashiwa, Chiba, 277-8583, Japan"},{"country":"Switzerland","organization":"École Polytechnique Fédéral de Lausanne (EPFL)","value":"Laboratory for Theoretical Fundamental Physics, Institute of Physics, École Polytechnique Fédéral de Lausanne (EPFL), Route de la Sorge, Lausanne, CH-1015, Switzerland"}],"email":null,"full_name":null,"given_names":"Jiaxin","surname":"Qiao"},{"affiliations":[{"country":"Switzerland","organization":"École Polytechnique Fédéral de Lausanne (EPFL)","value":"Fields and Strings Laboratory, Institute of Physics, École Polytechnique Fédéral de Lausanne (EPFL), Route de la Sorge, Lausanne, CH-1015, Switzerland"},{"country":"France","organization":"Institut de Physique Théorique, Université Paris-Saclay, CEA, CNRS","value":"Institut de Physique Théorique, Université Paris-Saclay, CEA, CNRS, Gif-sur-Yvette, 91191, France"}],"email":null,"full_name":null,"given_names":"Xiang","surname":"Zhao"}],"collections":[{"primary":"Journal of High Energy Physics"}],"control_number":106065,"copyright":[{"statement":"","holder":"The Author(s)","year":2026}],"dois":[{"value":"10.1007/JHEP04(2026)001"},{"value":"2511.20749"}],"imprints":[{"date":null,"publisher":"Springer"}],"license":[{"license":"CC-BY-4.0","url":"http://creativecommons.org/licenses/by/4.0/"}],"page_nr":[29],"publication_info":[{"artid":"JHEP04(2026)001","journal_issue":"4","journal_title":"Journal of High Energy Physics","journal_volume":"2026","page_end":"29","page_start":"1","year":"2026"}],"record_creation_date":"2026-04-02T06:55:39.259428","titles":[{"source":"Springer","title":"Locality constraints in AdS2 without parity"}]},"updated":"2026-04-02T07:08:32.586898+00:00","id":106065,"created":"2026-04-02T06:55:39.259428"},{"metadata":{"_files":[{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)009/13130_2026_Article_28581.xml.scoap.xml","key":"13130_2026_Article_28581.xml.scoap","filetype":"xml"},{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)009/13130_2026_Article_28581_a.pdf","key":"13130_2026_Article_28581_a","filetype":"pdf"}],"abstracts":[{"source":"Springer","value":"We investigate orbifolds of lattice conformal field theories with the goal of constructing theories with large gap. We consider Barnes-Wall lattices, which are a family of lattices with no short vectors, and orbifold by an extraspecial 2-group of lattice automorphisms. To construct the orbifold CFT, we investigate the orbifold vertex operator algebra and its twisted modules. To obtain a holomorphic CFT, a certain anomaly 3-cocycle $\\textit{ω}$ needs to vanish; based on evidence we provide, we conjecture that it indeed does. Granting this conjecture, we construct a holomorphic CFT of central charge 128 with gap 4."}],"arxiv_eprints":[{"categories":["hep-th","math.QA"],"value":["10.1007/JHEP04(2026)009","2411.13646"]}],"authors":[{"affiliations":[{"country":"United States","organization":"University of Arizona","value":"Department of Mathematics, University of Arizona, 617 N. Santa Rita Ave., Tucson, AZ, 85721-0089, USA"}],"email":null,"full_name":null,"given_names":"Christoph","surname":"Keller"},{"affiliations":[{"country":"United States","organization":"University of Arizona","value":"Department of Mathematics, University of Arizona, 617 N. Santa Rita Ave., Tucson, AZ, 85721-0089, USA"}],"email":null,"full_name":null,"given_names":"Ashley","surname":"Roberts"},{"affiliations":[{"country":"United States","organization":"University of Arizona","value":"Department of Mathematics, University of Arizona, 617 N. Santa Rita Ave., Tucson, AZ, 85721-0089, USA"}],"email":null,"full_name":null,"given_names":"Jeremy","surname":"Roberts"}],"collections":[{"primary":"Journal of High Energy Physics"}],"control_number":106064,"copyright":[{"statement":"","holder":"The Author(s)","year":2026}],"dois":[{"value":"10.1007/JHEP04(2026)009"},{"value":"2411.13646"}],"imprints":[{"date":null,"publisher":"Springer"}],"license":[{"license":"CC-BY-4.0","url":"http://creativecommons.org/licenses/by/4.0/"}],"page_nr":[44],"publication_info":[{"artid":"JHEP04(2026)009","journal_issue":"4","journal_title":"Journal of High Energy Physics","journal_volume":"2026","page_end":"44","page_start":"1","year":"2026"}],"record_creation_date":"2026-04-02T06:55:39.305350","titles":[{"source":"Springer","title":"CFTs with large gap from Barnes-Wall lattice orbifolds"}]},"updated":"2026-04-02T07:08:23.308263+00:00","id":106064,"created":"2026-04-02T06:55:39.305350"},{"metadata":{"_files":[{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)019/13130_2026_Article_28591.xml.scoap.xml","key":"13130_2026_Article_28591.xml.scoap","filetype":"xml"},{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)019/13130_2026_Article_28591_a.pdf","key":"13130_2026_Article_28591_a","filetype":"pdf"}],"abstracts":[{"source":"Springer","value":"We study one of the simplest integrable two-dimensional quantum field theories with a boundary: $\\textit{N}$ free non-compact scalars in the bulk, constrained non-linearly on the boundary to lie on an ($\\textit{N}$ − 1)-sphere of radius $$ 1/\\sqrt{g} $$ . The $\\textit{N}$ = 1 case reduces to the single-channel Kondo problem, for $\\textit{N}$ = 2 the model describes dissipative Coulomb charging in quantum dots, and larger $\\textit{N}$ is analogous to higher-spin impurity or multi-channel scenarios. Adding a boundary magnetic field — a linear boundary coupling to the scalars — enriches the model’s structure while preserving integrability. Lukyanov and Zamolodchikov (2004) conjectured an expansion for the boundary free energy on the infinite half-cylinder in powers of the magnetic field. Using large-$\\textit{N}$ saddle-point techniques, we confirm their conjecture to next-to-leading order in 1$\\textit{/N}$. Renormalization of the subleading solution turns out to be highly instructive, and we connect it to the RG running of $\\textit{g}$ studied by Giombi and Khanchandani (2020)."}],"arxiv_eprints":[{"categories":["hep-th","cond-mat.mes-hall","cond-mat.str-el","math-ph"],"value":["10.1007/JHEP04(2026)019","2509.23869"]}],"authors":[{"affiliations":[{"country":"United States","organization":"Stony Brook University","value":"C.N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, NY, 11794, USA"}],"email":null,"full_name":null,"given_names":"Mohsen","surname":"Gheisarieha"},{"affiliations":[{"country":"United States","organization":"Stony Brook University","value":"Department of Physics and Astronomy, Stony Brook University, Stony Brook, NY, 11794, USA"},{"country":"United States","organization":"Stony Brook University","value":"Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, NY, 11794-3636, USA"}],"email":null,"full_name":null,"given_names":"Ramtin","surname":"Yazdi"},{"affiliations":[{"country":"Iran","organization":"Physics Department, Sharif University of Technology","value":"Physics Department, Sharif University of Technology, Azadi Avenue, Tehran, Iran"}],"email":null,"full_name":null,"given_names":"Arash","surname":"Ardehali"}],"collections":[{"primary":"Journal of High Energy Physics"}],"control_number":106076,"copyright":[{"statement":"","holder":"The Author(s)","year":2026}],"dois":[{"value":"10.1007/JHEP04(2026)019"},{"value":"2509.23869"}],"imprints":[{"date":null,"publisher":"Springer"}],"license":[{"license":"CC-BY-4.0","url":"http://creativecommons.org/licenses/by/4.0/"}],"page_nr":[18],"publication_info":[{"artid":"JHEP04(2026)019","journal_issue":"4","journal_title":"Journal of High Energy Physics","journal_volume":"2026","page_end":"18","page_start":"1","year":"2026"}],"record_creation_date":"2026-04-02T12:55:13.398048","titles":[{"source":"Springer","title":"Integrable spherical brane model at large $\\textit{N}$"}]},"updated":"2026-04-02T12:55:17.678610+00:00","id":106076,"created":"2026-04-02T12:55:13.398048"},{"metadata":{"_files":[{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)010/13130_2026_Article_28582.xml.scoap.xml","key":"13130_2026_Article_28582.xml.scoap","filetype":"xml"},{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)010/13130_2026_Article_28582_a.pdf","key":"13130_2026_Article_28582_a","filetype":"pdf"}],"abstracts":[{"source":"Springer","value":"The notion of time in general relativity must arise from an internal clock, i.e., a degree of freedom in the gravitational theory internal to the system that can serve the role of a physical clock. One such internal notion of time is the York time, corresponding to constant extrinsic curvature slicing of spacetime. We study the Hartle-Hawking wavefunction of asymptotically $\\textit{AdS}$ JT gravity as a function of York time. Using both canonical quantization and the JT gravity path integral, we explicitly calculate this wavefunction and show that it satisfies a Schrodinger equation with respect to York time. We find the corresponding York Hamiltonian, which turns out to be manifestly Hermitian. Our analysis cleanly avoids operator ordering ambiguities. The dependence of the wavefunction on York time should be thought of as emerging from a unitary basis transformation of the gravitational length basis states used to compute the wavefunction, and not from time evolution of the state in the dual boundary theory."}],"arxiv_eprints":[{"categories":["hep-th"],"value":["10.1007/JHEP04(2026)010","2505.19231"]}],"authors":[{"affiliations":[{"country":"India","organization":"Tata Institute of Fundamental Research","value":"Department of Theoretical Physics, Tata Institute of Fundamental Research, Colaba, Mumbai, 400005, India"}],"email":null,"full_name":null,"given_names":"Onkar","surname":"Parrikar"},{"affiliations":[{"country":"Japan","organization":"Kyoto University","value":"Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, 606-8502, Japan"}],"email":null,"full_name":null,"given_names":"Sunil","surname":"Sake"}],"collections":[{"primary":"Journal of High Energy Physics"}],"control_number":106088,"copyright":[{"statement":"","holder":"The Author(s)","year":2026}],"dois":[{"value":"10.1007/JHEP04(2026)010"},{"value":"2505.19231"}],"imprints":[{"date":null,"publisher":"Springer"}],"license":[{"license":"CC-BY-4.0","url":"http://creativecommons.org/licenses/by/4.0/"}],"page_nr":[57],"publication_info":[{"artid":"JHEP04(2026)010","journal_issue":"4","journal_title":"Journal of High Energy Physics","journal_volume":"2026","page_end":"57","page_start":"1","year":"2026"}],"record_creation_date":"2026-04-02T18:56:09.005234","titles":[{"source":"Springer","title":"York time in JT gravity"}]},"updated":"2026-04-02T18:56:13.733409+00:00","id":106088,"created":"2026-04-02T18:56:09.005234"},{"metadata":{"_files":[{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)012/13130_2026_Article_28584.xml.scoap.xml","key":"13130_2026_Article_28584.xml.scoap","filetype":"xml"},{"file":"https://scoap3-prod-backend.s3.cern.ch/media/harvested_files/10.1007/JHEP04(2026)012/13130_2026_Article_28584_a.pdf","key":"13130_2026_Article_28584_a","filetype":"pdf"}],"abstracts":[{"source":"Springer","value":"In this paper, we apply both supervised and unsupervised machine learning algorithms to the study of the string landscape and swampland in 6-dimensions. Our data are the (almost) anomaly-free 6-dimensional $$ \\mathcal{N} $$ = (1, 0) supergravity models, characterised by the Gram matrix of anomaly coefficients. Our work demonstrates the ability of machine learning algorithms to efficiently learn highly complex features of the landscape and swampland. Employing an autoencoder for unsupervised learning, we provide an auto-classification of these models by compressing the Gram matrix data to 2-dimensions. Through compression, similar models cluster together, and we identify prominent features of these clusters. The autoencoder also identifies outlier models which are difficult to reconstruct. One of these outliers proves to be incredibly difficult to combine with other models such that the tr$\\textit{R}$ anomaly vanishes, making its presence in the landscape extremely rare. Further, we utilise supervised learning to build two classifiers predicting (1) model consistency under probe string insertion (precision: 0.78, predicting consistency for 214,837 models with reasonable certainty) and (2) inconsistency under anomaly inflow (precision: 0.91, predicting inconsistency for 1,909,359 models). Notably, projecting these predictions onto the autoencoder’s 2-dimensional latent layer shows consistent models clustering together, further indicating that the autoencoder has learnt interesting and complex features of the set of models and potentially offers a novel approach to mapping the landscape and swampland of 6-dimensional supergravity theories."}],"arxiv_eprints":[{"categories":["hep-th","cs.LG"],"value":["10.1007/JHEP04(2026)012","2505.16131"]}],"authors":[{"affiliations":[{"country":"United States","organization":"Texas A&M University","value":"Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX, 77843, USA"}],"email":null,"full_name":null,"given_names":"Nathan","surname":"Brady"},{"affiliations":[{"country":"United States","organization":"Texas A&M University","value":"Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX, 77843, USA"}],"email":null,"full_name":null,"given_names":"David","surname":"Tennyson"},{"affiliations":[{"country":"United States","organization":"Texas A&M University","value":"Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, TX, 77843, USA"}],"email":null,"full_name":null,"given_names":"Thomas","surname":"Vandermeulen"}],"collections":[{"primary":"Journal of High Energy Physics"}],"control_number":106089,"copyright":[{"statement":"","holder":"The Author(s)","year":2026}],"dois":[{"value":"10.1007/JHEP04(2026)012"},{"value":"2505.16131"}],"imprints":[{"date":null,"publisher":"Springer"}],"license":[{"license":"CC-BY-4.0","url":"http://creativecommons.org/licenses/by/4.0/"}],"page_nr":[48],"publication_info":[{"artid":"JHEP04(2026)012","journal_issue":"4","journal_title":"Journal of High Energy Physics","journal_volume":"2026","page_end":"48","page_start":"1","year":"2026"}],"record_creation_date":"2026-04-02T18:56:09.578031","titles":[{"source":"Springer","title":"Machine learning the 6d supergravity landscape"}]},"updated":"2026-04-02T18:56:13.922281+00:00","id":106089,"created":"2026-04-02T18:56:09.578031"}]}}