We perform all possible supersymmetric truncations of the four-dimensional <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>3</mn></math> dilaton Weyl multiplet, which realizes an <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>R</mi></math>-symmetry <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>S</mi><mi>U</mi><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo><mo>×</mo><mi>U</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo><mo>×</mo><mi>U</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></math>, to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>2</mn></math>. A particular truncation procedure does not break any of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>R</mi></math>-symmetries and leads to the known <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>2</mn></math> vector-dilaton Weyl multiplet and the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>2</mn></math> vector multiplet. A different truncation procedure breaks the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>U</mi><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></math> part of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>R</mi></math>-symmetry to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>U</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></math> and leads to a <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>32</mn><mo>+</mo><mn>32</mn></math> off-shell representation of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>2</mn></math> conformal supergravity with a partially broken <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>R</mi></math>-symmetry. Independently, we construct another <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>32</mn><mo>+</mo><mn>32</mn></math> off-shell multiplet in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>2</mn></math> conformal supergravity by coupling the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>2</mn></math> scalar-tensor multiplet to the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>2</mn></math> standard Weyl multiplet and using the scalar fields present in the scalar-tensor multiplet to break the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>U</mi><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></math> <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>R</mi></math>-symmetry to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>U</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></math>. We then establish the equivalence between these two multiplets through a mapping. We observe that this <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>32</mn><mo>+</mo><mn>32</mn></math> multiplet is gauge equivalent to a Poincaré supergravity multiplet as it has all the compensators necessary to go from conformal supergravity to Poincaré supergravity.

South Korea

Soumya Adhikari

United States

Aravind Aikot

India

Eswar Krishnan

Bindusar Sahoo

Sharun Shanmughan

Supersymmetric truncation of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi mathvariant="script">N</mi><mo>=</mo><mn>3</mn></mrow></math> dilaton Weyl multiplet

We study Wilson loops on the Coulomb branch of $\textit{N}$ = 4 super-Yang-Mills theory, by solving for minimal surface that connect the contour on the boundary with the D3-brane in the bulk. The circular loop undergoes the Gross-Ooguri transition as a function of the radius and angular separation, and we fully map its phase diagram. As a byproduct we find evidence that the expectation value of the straight line is tree-level exact.

Belgium

Jarne Moens

Denmark

Sweden

Konstantin Zarembo

Wilson loops on the Coulomb branch of N=4 super-Yang-Mills

The three-dimensional classical <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></mrow></math> model with a boundary has received renewed interest due to the discovery of the extraordinary-log boundary universality class for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mn>2</mn><mo>≤</mo><mi>N</mi><mo>&lt;</mo><msub><mrow><mi>N</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math>. The critical value <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>c</mi></msub></math> and the exponent of the boundary correlation function are related to certain amplitudes in the normal universality class. To determine their precise values, we revisit the 3D <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></mrow></math> boundary conformal field theory for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></math>, 2, 3, 4, 5. After substantially improving the accuracy of the boundary bootstrap, our determinations are in excellent agreement with the Monte Carlo results, resolving the previous discrepancies due to low truncation orders. We also use the recent bulk bootstrap results to deduce highly accurate Ising data. Many bulk and boundary predictions are obtained for the first time. Our results demonstrate the great potential of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>η</mi></math> minimization method for many unexplored bootstrap problems in which positivity constraints are absent.

China

Runzhe Hu

Wenliang Li

Accurate Boundary Bootstrap for the Three-Dimensional <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi mathvariant="normal">O</mi><mo stretchy="false">(</mo><mi>N</mi><mo stretchy="false">)</mo></mrow></math> Normal Universality Class

A new measurement of the $^{65}$Cu($\textit{γ}$, $\textit{n}$)$^{64}$Cu photoneutron cross section is performed using quasi-monoenergetic, tunable $\textit{γ}$-ray beams produced at the Shanghai Laser Electron Gamma Source (SLEGS). The energy spectrum of the SLEGS $\textit{γ}$-ray beams incident on the isotopically enriched $^{65}$Cu target is monitored using a BGO detector, while the photoneutron yields are determined with a moderated $^{3}$He detection array with high and flat efficiency. Within the energy range of $10.1 \le E_\gamma \le 17.6$ MeV, the measured $\sigma(E_\gamma)$ data have an uncertainty of $\lesssim 4$ %, and a pronounced giant-dipole peak is observed at $E_\gamma \simeq 16.65$ MeV with a maximal cross section of $\sigma_{\text{max}} \simeq 137$ mb. These photoneutron data are compared with previous experimental results and are employed to extract the $\textit{γ}$-ray strength function of $^{65}$Cu above the neutron threshold. Furthermore, we calculate the radiative neutron capture cross sections and astrophysical reaction rates for $^{64}$Cu, which is a short-lived intermediate nucleus whose reaction rate controls the local abundance distribution in the weak $\textit{s}$-process. It is found that the calculated $^{64}$Cu($\textit{n,}$ $\textit{γ}$)$^{65}$Cu data have an overall agreement with ENDF/B-VIII.0, JEFF-3.3, and TENDL-2023 evaluations, and the corresponding astrophysical reaction rates are consistent with those reported in the JINA REACLIB database.

Yu-Long Shen

Zi-Rui Hao

Qian-kun Sun

Hong-Wei Wang

Long-Xiang Liu

Hang-Hua Xu

Yue Zhang

Sheng Jin

Kai-Jie Chen

Meng-Die Zhou

Zhen-Wei Wang

Meng-Ke Xu

Xiang-Fei Wang

Chang Yang

Pu Jiao

Chun-Wang Ma

Gong-Tao Fan

Zhi-Cai Li

Wen Luo

Photoneutron cross section measurements on $^{65}$Cu: toward understanding ($\textit{n,}$ $\textit{γ}$) cross sections relevant to weak $\textit{s}$-process nucleosynthesis * This work was supported by the National Key Research and Development Program (2023YFA1606901), and the National Natural Science Foundation of China (12575133, 12505144)

We present an investigation of the structural properties of heavy-light ( $$D, D_s, B, B_s$$ ) and heavy-heavy ( $$B_c$$ ) mesons by incorporating the $\textit{V}$-scheme strong coupling constant $$\alpha _V$$ up to the third-loop order ( $$N^3$$ LO). The inclusion of three-loop radiative corrections is critical to achieving perturbative convergence and effectively canceling renormalon-induced instabilities. A central feature of this work is the rigorous calibration of the string tension $\textit{b}$ using the universal scaling ratio $$R_{n_f} = \Lambda _{\overline{\text {MS}}}^{(n_f)}/\sqrt{b}$$ , matched to the non-perturbative Sommer scale $$r_0$$ from FLAG 2024 averages. By integrating these flavor-dependent $$N^3$$ LO refinements ( $$b \approx 0.1951 \pm 0.0369$$ GeV $$^2$$ ) into a variational Cornell potential framework, we demonstrate a systematic“stiffening”of the internal structure and a physical spatial contraction across successive loop orders. Our $$N^3$$ LO results for root-mean-square (RMS) matter radii and charge radii exhibit remarkable agreement with established benchmarks: specifically, the $$B_c$$ charge radius (0.191 fm) and matter radius (0.2967 fm) align closely with light-front predictions and relativistic quark model studies. Evaluation of the Isgur–Wise function reveals that while higher-order corrections primarily reshape the light-quark spectator cloud, the heavy core localization remains dominated by the constituent mass scale.

Rishan Choudhury

Pritom Nath

Jugal Lahkar

Variationally improved structure of heavy-light mesons at $$N^3$$ LO: stiffening effects and universal form factors in the $\textit{V}$-scheme

Recent experimental data from <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>MINER</mi><mi>ν</mi><mi mathvariant="normal">A</mi></mrow></math> on transverse kinematics observables across four different nuclear targets—carbon, oxygen, iron, and lead—have been utilized to refine the modeling of final state interaction effects in the nuwro Monte Carlo neutrino event generator. For this purpose, we have developed an event reweighting tool for future applications to adjust the strength of final-state interactions. This study highlights the requirement for stronger nucleon reinteractions than previously assumed, but it still falls within the uncertainty range observed in a study comparing proton transparency measurements. This conclusion has significant implications for both experimental and theoretical work involving nuwro.

Poland

Hemant Prasad

Jan T. Sobczyk

Rwik Dharmapal Banerjee

J. Luis Bonilla

Krzysztof M. Graczyk

Beata E. Kowal

Artur M. Ankowski

Fine-tuning final state interactions model in the nuwro Monte Carlo event generator

We propose and calculate a holographic Krylov complexity in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>4</mn></math> SYM theory via the proper momentum for motion in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>AdS</mi><mn>5</mn></msub></math> sliced by <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>AdS</mi><mn>3</mn></msub></math>. The motion in an <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>AdS</mi><mn>3</mn></msub></math> subgroup corresponds to the Krylov complexity of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi><mi>l</mi><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></math> subsector. The general motion corresponds to the Krylov complexity of the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>4</mn></math> SYM.

Russia

Ali Fatemiabhari

Brazil

Horatiu Nastase

Dibakar Roychowdhury

Holographic Krylov complexity in <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="script">N</mi><mo>=</mo><mn>4</mn></math> SYM theory

In a recent work, we argued that the net quark number gained by a bath of quarks and gluons upon bringing an external static quark probe, while being equal to 1 in the high temperature, deconfined phase, is equal to 0 or 3 in the low temperature, confined phase, depending on the value of the quark chemical potential. This establishes a clear-cut connection between the confinement of a medium as probed by order parameters such as the Polyakov loop, and the ability of that same medium to screen the quark probe into states with the same net quark content as mesons or baryons. In this work, we extend these findings to the SU(<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>c</mi></msub></math>) color group, consider color probes in various (fundamental and nonfundamental) representations, and conjecture a rationale of how these results could be recovered from a purely thermodynamic argument that shortcuts the use of the Euclidean functional framework, while emphasizing the role of color <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>c</mi></msub></math>-ality as a proxy for center symmetry within the Minkowskian framework.

France

V. Tomas Mari Surkau

Urko Reinosa

SU(<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>c</mi></msub></math>) confinement and color <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>c</mi></msub></math>-ality

The Georgi-Glashow model is the simplest possible attempt at grand unification. However, due to its particle content, the model preserves a global <math altimg='si63.svg'><mrow><mi>U</mi><msub><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow><mrow><mi>B</mi><mo>&#8722;</mo><mi>L</mi></mrow></msub></mrow></math> symmetry, where <italic>B</italic> and <italic>L</italic> are baryon and lepton numbers, respectively. It thus leaves neutrinos massless just as the Standard Model does. The extensions of the Georgi-Glashow model that break lepton number by two units, i.e., scenarios with <math altimg='si64.svg'><mrow><mo>|</mo><mstyle mathvariant='normal'><mi>&#916;</mi></mstyle><mi>L</mi><mo>|</mo><mo>=</mo><mn>2</mn></mrow></math> operator(s), naturally generate potentially viable Majorana neutrino masses. Since the dynamics that yields <math altimg='si64.svg'><mrow><mo>|</mo><mstyle mathvariant='normal'><mi>&#916;</mi></mstyle><mi>L</mi><mo>|</mo><mo>=</mo><mn>2</mn></mrow></math> interactions unavoidably induces <math altimg='si65.svg'><mrow><mo>|</mo><mstyle mathvariant='normal'><mi>&#916;</mi></mstyle><mi>B</mi><mo>|</mo><mo>=</mo><mn>2</mn></mrow></math> transitions via <math altimg='si66.svg'><mrow><mi>B</mi><mspace width='-0.16em' /><mo linebreak='goodbreak'>&#8722;</mo><mspace width='-0.16em' /><mi>L</mi></mrow></math> breaking, these extensions consequentially lead to intriguing processes such as neutron&#8211;antineutron ( <italic>n</italic>&#8211; <math altimg='si1.svg'><mover><mrow><mi>n</mi></mrow><mo stretchy='true'>&#8254;</mo></mover></math>) oscillation. We investigate this intrinsic connection between neutrino mass generation and <italic>n</italic>&#8211; <math altimg='si1.svg'><mover><mrow><mi>n</mi></mrow><mo stretchy='true'>&#8254;</mo></mover></math> oscillation within a number of representative extensions of the Georgi-Glashow model that can yield realistic neutrino masses and mixing parameters. These extensions include the tree-level seesaw mechanism realizations of the Type I, II, and III varieties, as well as the one-loop and two-loop radiative neutrino mass models.

Slovenia

Croatia

Ilja Doršner

Svjetlana Fajfer

Shaikh Saad

Neutrino mass induced <italic>n</italic>&#8211; <math altimg='si1.svg'><mover><mrow><mi>n</mi></mrow><mo stretchy='true'>&#8254;</mo></mover></math> oscillation

We propose an integrability approach for planar three-point functions at finite coupling in $$ \mathcal{N} $$ = 2 superconformal field theories obtained as $\textit{ℤ}$ orbifolds of $$ \mathcal{N} $$ = 4 super Yang-Mills (SYM). Generalizing the hexagon formalism for $$ \mathcal{N} $$ = 4 SYM, we reproduce the structure constants of Coulomb branch operators, previously obtained by supersymmetric localization, as exact functions of the ’t Hooft coupling. Our analysis explains the common physical origin of Fredholm kernels in integrability and localization, and hints at structures after the resummation in the hexagon formalism. Notably, we conjecture an all-loop, all-magnon expression for the wrapping contribution, that we checked against the Fredholm determinant result. We were also able to check that the first few magnon contributions are consistent with the factorized form of the final result.

Germany

Gwenaël Ferrando

Switzerland

Shota Komatsu

Gabriel Lefundes

Didina Serban

Exact three-point functions in $$ \mathcal{N} $$ = 2 superconformal field theories: integrability vs. localization