In this work, we investigate a static and circularly symmetric three-dimensional wormhole solution characterized by topological charge and the presence of disclinations. We begin by analyzing the motion of photons and massive particles within this wormhole spacetime, focusing on how the geometric parameters influence the effective potential governing geodesic motion. The corresponding equations of motion are derived, and the resulting orbital dynamics are explored through graphical methods to show influence of the key parameters. Extending our analysis to wave dynamics, we examine the propagation of monochromatic waves in this topologically charged wormhole geometry with disclinations. By reformulating the Helmholtz wave equation in this curved space background, we derive a Schrödinger-like equation, which leads to an effective potential describing wave behavior. From this wave-optical perspective, we extract an effective refractive index and demonstrate how it is modulated by the topological charge, the disclination parameters, and the wormhole throat radius. This study provides valuable insight into the interplay between geometric parameters and both geodesic and wave-optical phenomena in non-trivial topological backgrounds.

India

Faizuddin Ahmed

Algeria

Abdelmalek Bouzenada

Geometric and wave optics in a topologically charged Perry-Mann type wormhole with disclinations

M5-branes on an associative three-cycle M 3 in a G 2-holonomy manifold give rise to a 3d  <math><mi>N</mi><mo>=</mo><mn>1</mn></math> $$ \mathcal{N}=1 $$ supersymmetric gauge theory,  <math><msub><mi>T</mi><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></msub><mfenced><msub><mi>M</mi><mn>3</mn></msub></mfenced></math> $$ {T}_{\mathcal{N}=1}\left[{M}_3\right] $$. We propose an  <math><mi>N</mi><mo>=</mo><mn>1</mn></math> $$ \mathcal{N}=1 $$ 3d-3d correspondence, based on two observables of these theories: the Witten index and the S 3-partition function. The Witten index of a 3d  <math><mi>N</mi><mo>=</mo><mn>1</mn></math> $$ \mathcal{N}=1 $$ theory  <math><msub><mi>T</mi><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></msub><mfenced><msub><mi>M</mi><mn>3</mn></msub></mfenced></math> $$ {T}_{\mathcal{N}=1}\left[{M}_3\right] $$ is shown to be computed in terms of the partition function of a topological field theory, a super-BF-model coupled to a spinorial hypermultiplet (BFH), on M 3. The BFH-model localizes on solutions to a generalized set of 3d Seiberg-Witten equations on M 3. Evidence to support this correspondence is provided in the abelian case, as well as in terms of a direct derivation of the topological field theory by twisted dimensional reduction of the 6d (2, 0) theory. We also consider a correspondence for the S 3-partition function of the  <math><msub><mi>T</mi><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></msub><mfenced><msub><mi>M</mi><mn>3</mn></msub></mfenced></math> $$ {T}_{\mathcal{N}=1}\left[{M}_3\right] $$ theories, by determining the dimensional reduction of the M5-brane theory on S 3. The resulting topological theory is Chern-Simons-Dirac theory, for a gauge field and a twisted harmonic spinor on M 3, whose equations of motion are the generalized 3d Seiberg-Witten equations. For generic G 2-manifolds the theory reduces to real Chern-Simons theory, in which case we conjecture that the S 3-partition function of  <math><msub><mi>T</mi><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></msub><mfenced><msub><mi>M</mi><mn>3</mn></msub></mfenced></math> $$ {T}_{\mathcal{N}=1}\left[{M}_3\right] $$ is given by the Witten-Reshetikhin-Turaev invariant of M 3.

United Kingdom

Julius Eckhard

Sakura Schäfer-Nameki

Japan

Jin-Mann Wong

An  <math><mi>N</mi><mo>=</mo><mn>1</mn></math> $$ \mathcal{N}=1 $$ 3d-3d correspondence

We construct supersymmetric AdS 3 solutions in F-theory, that is Type IIB supergravity with varying axio-dilaton, which are holographically dual to 2d N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ superconformal field theories with small superconformal algebra. In F-theory these arise from D3-branes wrapped on curves in the base of an elliptically fibered Calabi-Yau threefold Y 3 and correspond to self-dual strings in the 6d N = 1 0 $$ \mathcal{N}=\left(1,0\right) $$ theory obtained from F-theory on Y 3 . The non-trivial fibration over the wrapped curves implies a varying coupling of the N = 4 $$ \mathcal{N}=4 $$ Super-Yang-Mills theory on the D3-branes. We compute the holographic central charges and show that these agree with the field theory and with the anomalies of self-dual strings in 6d. We complement our analysis with a discussion of the dual M-theory solutions and a comparison of the central charges.

Christopher Couzens

Germany

Craig Lawrie

Dario Martelli

F-theory and AdS 3 /CFT 2

We improve the Monte-Carlo based QCD sum rules by introducing the rigorous Hölder-inequality-determined sum rule window and a Breit-Wigner type parametrization for the phenomenological spectral function. In this improved sum rule analysis methodology, the sum rule analysis window can be determined without any assumptions on OPE convergence or the QCD continuum. Therefore, an unbiased prediction can be obtained for the phenomenological parameters (the hadronic mass and width etc.). We test the new approach in the ρ meson channel with re-examination and inclusion of αs corrections to dimension-4 condensates in the OPE. We obtain results highly consistent with experimental values. We also discuss the possible extension of this method to some other channels.

China

Qi-Nan Wang

Canada

Zhu-Feng Zhang

T.G. Steele

Hong-Ying Jin

Zhuo-Ran Huang

A comprehensive revisit of the ρ meson with improved Monte-Carlo based QCD sum rulesSupported by NSFC (11175153, 11205093, 11347020), Open Foundation of the Most Important Subjects of Zhejiang Province, and K. C. Wong Magna Fund in Ningbo University, TGS is Supported by the Natural Sciences and Engineering Research Council of Canada (NSERC), Z. F. Zhang and Z. R. Huang are Grateful to the University of Saskatchewan for its Warm Hospitality

We study the 6d N = (0 , 2) superconformal field theory, which describes multiple M5-branes, on the product space S 2 × M 4 , and suggest a correspondence between a 2d N = (0 , 2) half-twisted gauge theory on S 2 and a topological sigma-model on the four-manifold M 4 . To set up this correspondence, we determine in this paper the dimensional reduction of the 6d N = (0 , 2) theory on a two-sphere and derive that the four-dimensional theory is a sigma-model into the moduli space of solutions to Nahm’s equations, or equivalently the moduli space of k -centered SU(2) monopoles, where k is the number of M5-branes. We proceed in three steps: we reduce the 6d abelian theory to a 5d Super-Yang-Mills theory on I × M 4 , with I an interval, then non-abelianize the 5d theory and finally reduce this to 4d. In the special case, when M 4 is a Hyper-Kähler manifold, we show that the dimensional reduction gives rise to a topological sigma-model based on tri-holomorphic maps. Deriving the theory on a general M 4 requires knowledge of the metric of the target space. For k = 2 the target space is the Atiyah-Hitchin manifold and we twist the theory to obtain a topological sigma-model, which has both scalar fields and self-dual two-forms.

Benjamin Assel

M5-branes on S 2 × M 4 : Nahm’s equations and 4d topological sigma-models

We investigate the exact results for circular 1/4 and 1/2 BPS Wilson loops in the d = 3 mathcal = 4 super Chern-Simons-matter theory that could be obtained by orbifolding Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. The partition function of the mathcal = 4 orbifold ABJM theory has been computed previously in the literature. In this paper, we re-derive it using a slightly different method. We calculate the vacuum expectation values of the circular 1/4 BPS Wilson loops in fundamental representation and of circular 1/2 BPS Wilson loops in arbitrary representations. We use both the saddle point approach and Fermi gas approach. The results for Wilson loops are in accord with the available gravity results.

Hao Ouyang

Jun-Bao Wu

Jia-Ju Zhang

Exact results for Wilson loops in orbifold ABJM theorySupported by NSFC (11222549, 11575202), K. C. Wong Education Foundation and Youth Innovation Promotion Association of CAS (2011016)

In F-theory, U(1) gauge symmetries are encoded in rational sections, which generate the Mordell-Weil group of the elliptic fibration of the compactification space. Recently the possible U(1) charges for global SU(5) F-theory GUTs with smooth rational sections were classified [1]. In this paper we utilize this classification to probe global F-theory models for their phenomenological viability. After imposing an exotic-free MSSM spectrum, anomaly cancellation (related to hypercharge flux GUT breaking in the presence of U(1) gauge symmetries), absence of dimension four and five proton decay operators and other R-parity violating couplings, and the presence of at least the third generation top Yukawa coupling, we generate the remaining quark and lepton Yukawa textures by a Froggatt-Nielsen mechanism. In this process we require that the dangerous couplings are forbidden at leading order, and when re-generated by singlet vevs, lie within the experimental bounds. We scan over all possible configurations, and show that only a small class of U(1) charge assignments and matter distributions satisfy all the requirements. The solutions give rise to the exact MSSM spectrum with realistic quark and lepton Yukawa textures, which are consistent with the CKM and PMNS mixing matrices. We also discuss the geometric realization of these models, and provide pointers to the class of elliptic fibrations with good phenomenological properties.

Sven Krippendorf

Froggatt-Nielsen meets Mordell-Weil: a phenomenological survey of global F-theory GUTs with U(1)s

In this paper, a minimal surface in q-deformed AdS5×S5 with a cusp boundary is studied in detail. This minimal surface is dual to a cusped Wilson loop in dual field theory. We find that the area of the minimal surface has both logarithmic squared divergence and logarithmic divergence. The logarithmic squared divergence cannot be removed by either Legendre transformation or the usual geometric subtraction. We further make an analytic continuation to the Minkowski signature, taking the limit such that the two edges of the cusp become light-like, and extract the anomalous dimension from the coefficient of the logarithmic divergence. This anomalous dimension goes back smoothly to the results in the undeformed case when we take the limit that the deformation parameter goes to zero.

Nan Bai

Hui-Huang Chen

Holographic cusped Wilson loops in q-deformed AdS5 × S5 spacetimeSupported by National Natural Science Foundation of China (11105154, 11222549, 11275207), K. C. Wong Education Foundation and Youth Innovation Promotion Association of CAS

We study elliptic fibrations for F-theory compactifications realizing 4d and 6d supersymmetric gauge theories with abelian gauge factors. In the fibration these U(1) symmetries are realized in terms of additional rational section. We obtain a universal characterization of all the possible U(1) charges of matter fields by determining the corresponding codimension two fibers with rational sections. In view of modelling supersymmetric Grand Unified Theories, one of the main examples that we analyze are U(1) symmetries for SU(5) gauge theories with 5 ¯ $$ \overline{\mathbf{5}} $$ and 10 matter. We use a combination of constraints on the normal bundle of rational curves in Calabi-Yau three- and four-folds, as well as the splitting of rational curves in the fibers in codimension two, to determine the possible configurations of smooth rational sections. This analysis straightforwardly generalizes to multiple U(1)s. We study the flops of such fibers, as well as some of the Yukawa couplings in codimension three. Furthermore, we carry out a universal study of the U(1)-charged GUT singlets, including their KK-charges, and determine all realizations of singlet fibers. By giving vacuum expectation values to these singlets, we propose a systematic way to analyze the Higgsing of U(1)s to discrete gauge symmetries in F-theory.

F-theory and all things rational: surveying U(1) symmetries with rational sections