Article
Physics, Particles & Fields
Zhihao Duan, June Nahmgoong
Summary: By studying the elliptic genera of ADE-type M-strings in 6d (2,0) SCFTs and exploring their modularity, a novel kinematical constraint has been identified. This constraint helps determine elliptic genera at low base degrees and allows for conjecturing a vanishing bound for refined Gopakumar-Vafa invariants. By utilizing these results, the 6d Cardy formulas and superconformal indices for (2,0) theories have been obtained.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Machiko Hatsuda, Warren Siegel
Summary: F-theory includes string theories with N = 1 supersymmetry through open Type I F-theory branes (F-branes), exhibiting U-duality symmetry, and has a detailed study of the case of D=3.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Thomas Creutzig, Yasuaki Hikida
Summary: Correspondences of correlation functions among dual conformal field theories in two dimensions are derived by developing a first order formulation of coset models. The most fundamental example may be a conjectural equivalence between a coset (SL(n)(k)circle times SL(n)(-1))/SL(n)(k-1) and sl(n) Toda field theory with generic level k. The study also completes the derivation of higher rank FZZ-duality involving a coset SL(n +1)(k)/(SL(n)(k) circle times U(1)).
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Sirui Ning
Summary: Recent holographic analyses on IIA and IIB models of moduli stabilization have yielded many interesting results. In this paper, we extend this approach to M-Theory and consider both flux-stabilized models and non-perturbative stabilization methods. Through holographic analysis, we determine the spectrum of the assumed dual CFT3 and its implication in the AdS/CFT framework. For flux stabilization, the moduli have integer dimensions similar to the DGKT flux-stabilized model in type IIA. For non-perturbative stabilization, the results resemble racetrack models in type IIB.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Simone Giacomelli, Carlo Meneghelli, Wolfger Peelaers
Summary: The study focuses on four-dimensional N = 2 superconformal field theories describing D3-branes probing the newly constructed N = 2 S-folds in F-theory. An infinite class of superconformal field theories related to S-fold theories via partial Higgsing is introduced, and various properties of both the S-fold models and this new class of theories are determined using field-theoretical techniques.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Machiko Hatsuda, Warren Siegel
Summary: The paper discusses the exceptional symmetry and U-duality theory in F-theory, examining the SO(5,5) U-duality symmetry acting on spacetime and worldvolume coordinates. The symmetry is enlarged in the Lagrangian formulation to SO(6,6), with proposed actions for F-theory 10-branes having both SO(5,5) and SO(6,6) symmetries. The gauge fields in the latter action include spacetime and worldvolume backgrounds, derived from SO(6,6)/S0(6;C) coset elements.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Sergio Iguri, Nicolas Kovensky, Julian H. Toro
Summary: We compute the worldsheet three-point functions of spectrally-flowed operators in chiral multiplets of the space-time theory for strings in AdS(3)xS(3)xT(4), completing the analysis of the full AdS(3)/CFT2 chiral ring. We utilize techniques recently developed for the bosonic sector, which involve holomorphic covering maps from the worldsheet to the AdS(3) boundary. We emphasize the importance of series identifications in dealing with complications arising from picture-changing spectrally-flowed states. We obtain an exact agreement with the predictions from the holographic CFT at the symmetric orbifold point.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Jacques Distler, Behzat Ergun, Fei Yan
Summary: The study developed a technique for counting stress tensor multiplets in 4D N = 2 SCFT and identifying when an isolated SCFT is a product of multiple theories. It was found that the phenomenon of SCFT being a product of theories is surprisingly rare in certain cases.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
B. S. Acharya, L. Foscolo, M. Najjar, E. E. Svanes
Summary: The recent theorem by Foscolo-Haskins-Nordstrom provides a way to construct and study a wide range of generalizations of the M-theory flop transition, affirming the duality between UV perturbative gauge theory and smooth G(2)-holonomy background in M-theory. Various physical checks have supported this proposal.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Thomas Creutzig, Yasuaki Hikida, Devon Stockal
Summary: In this study, a strong/weak duality between a Heisenberg coset with sl n subregular W-algebra symmetry and a theory with sl(n|1)-structure is examined. Correlator correspondences for a series of generalized duality are derived, as part of a project to realize duality of corner vertex operator algebras proposed by Gaiotto and Rapcak. Another type of duality involving an additional pair of fermions is also examined, which is a natural generalization of the fermionic FZZ-duality.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Thomas Creutzig, Yasuaki Hikida
Summary: The paper investigates strong/weak dualities in two dimensional conformal field theories by generalizing the FZZ-duality, showing equivalences between different models and providing explicit derivations of the duality in specific cases.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Gaston Giribet
Summary: This article revisits the calculation of correlation functions in the sine-Liouville field theory and provides expressions for the N-point functions. The results are used to discuss the relation to the H-3(+) WZW-Liouville correspondence and how they can be applied to study scattering amplitudes of winding string states in AdS(3).
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Takuya Kimura, Takahiro Nishinaka, Yuji Sugawara, Takahiro Uetoko
Summary: This study introduces a new formula for the instanton partition functions of specific four-dimensional gauge theories, and also explores the relationships between these theories and others.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Ruben Minasian, Charles Strickland-Constable, Yi Zhang
Summary: The study explores exotic chiral multiplets in six-dimensional extended supersymmetry, finding potential embedding within the framework of exceptional field theory but discrepancies in dynamics with five-dimensional gravity theories. An alternative picture involving fixed-volume T-3-fibered spacetimes is proposed, suggesting that contact with supergravity dynamics may only occur upon compactification to three dimensions.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Simeon Hellerman, Shunsuke Maeda, Domenico Orlando, Susanne Reffert, Masataka Watanabe
Summary: In this study, the ratio of pairs of adjacent correlators of Coulomb-branch operators in SU(2) N = 2 sqcd with four flavors was investigated within the large quantum number expansion framework. Utilizing the order-by-order S-duality invariance of the large-R-charge expansion, the dependence of the leading large- behavior on the marginal coupling tau was computed ab initio, showing excellent agreement with numerical estimates from localization.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Max Hubner, Sakura Schafer-Nameki
Summary: This study focuses on confinement in 4d N = 1 theories obtained by deforming 4d N = 2 theories of Class S. The researchers argue that confinement in a vacuum of the N = 1 theory can be encoded in the 1-cycles of the associated N = 1 curve. They reproduce the expected properties of confinement in classic examples and provide tools for probing confinement in non-Lagrangian N = 1 theories.
Article
Physics, Particles & Fields
Cyril Closset, Sakura Schafer-Nameki, Yi-Nan Wang
Summary: The paper explores the physics of superconformal field theories arising from isolated hypersurface singularities. It focuses on canonical isolated hypersurface singularities that allow for smooth crepant resolutions. The 5d and 4d physics of these singularities are discussed, and their 3d reduction and mirrors are determined in many cases. The paper also provides a Mathematica code to compute key quantities for any canonical isolated hypersurface singularity.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Fabio Apruzzi, Lakshya Bhardwaj, Dewi S. W. Gould, Sakura Schafer-Nameki
Summary: We investigate the 2-group symmetries in 6d superconformal field theories, which arise from the mixing between the discrete 1-form symmetry and continuous flavor symmetry group. By applying the approach that is applicable more generally, we classify all 6d superconformal field theories with such 2-group symmetries and discuss the dimension-independent aspects of the analysis. We also provide a mathematical code for computing 2-group symmetries once the dimension specific input is provided.
Article
Physics, Multidisciplinary
Jiahua Tian, Yi-Nan Wang
Summary: This study investigates orbifold singularities X = C-3/Gamma, where Gamma is a finite subgroup of SU (3). The M-theory on this orbifold singularity gives rise to a 5d SCFT, which is explored using two different methods. The first method involves the 3d McKay correspondence, which relates the group theoretic data of Gamma to the properties of the 5d SCFT. The second method involves explicitly resolving the singularity X and studying the Coulomb branch information of the 5d SCFT. Several new theories are constructed, some with IR quiver gauge theory descriptions and some without. Additionally, certain cases of Gamma can be embedded in an elliptic model and give rise to a 6d (1,0) SCFT in F-theory construction.
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Sakura Schafer-Nameki, Jingxiang Wu
Summary: By gauging symmetries in quantum field theory, dual symmetries related to topological Wilson line defects can be obtained, forming a larger (d-1) × (d-1)-category. In one particular 2-category, the objects are 2d condensation defects constructed from higher-level gauging.
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
Max Hubner, David Morrison, Sakura Schafer-Nameki, Yinan Wang
Summary: This paper discusses the application of F-theory on non-compact elliptically fibered Calabi-Yau manifolds, realizing higher-form symmetries. The topology of the boundary of the non-compact elliptic fibration and the construction of relative 2-cycles using Lefschetz thimbles are central to this study. The analysis is applied to various elliptic fibrations, including those with intersections between the discriminant of the elliptic fibration and the boundary. The concrete realization of the 1-form symmetry group is achieved by constructing the associated charged line operator from the elliptic fibration, and its application in computing symmetry topological field theories in elliptic three-folds is demonstrated.
Article
Physics, Particles & Fields
Fabio Apruzzi
Summary: This article discusses the symmetry TFT of 6d (1, 0) field theories, focusing on theories with a single tensor multiplet, and explores the coupling of higher-form symmetries, mixed anomalies, and the fate of 2-form and 1-form symmetries when coupled to gravity.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki, Apoorv Tiwari
Summary: We propose a procedure to capture general non-invertible symmetries of d-dimensional quantum field theories using the data of a higher-category. This procedure captures the local properties of topological defects associated with the symmetries. We also discuss the fusion of topological defects and explain that the phenomenon of dimension-changing fusions can be understood as higher-morphisms of the higher-category describing the symmetry.
Article
Physics, Mathematical
Fabio Apruzzi, Federico Bonetti, Inaki Garcia Etxebarria, Saghar S. Hosseini, Sakura Schafer-Nameki
Summary: We determine the d + 1 dimensional topological field theory, which encodes the higher-form symmetries and their 't Hooft anomalies for d-dimensional QFTs obtained by compactifying M-theory on a non-compact space X. The resulting theory, which we call the Symmetry TFT, or SymTFT for short, is derived by reducing the topological sector of 11d supergravity on the boundary 8X of the space X.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Physics, Multidisciplinary
Fabio Apruzzi, Ibrahima Bah, Federico Bonetti, Sakura Schafer-Nameki
Summary: We propose a systematic approach to deriving symmetry generators in holography. We focus on noninvertible symmetries, which have emerged as a new type of symmetry in higher-dimensional quantum field theories. We provide an example in the holographic confinement setup, where the fusion of noninvertible symmetries arises from the Myers effect on D-branes.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Particles & Fields
Marieke van Beest, Dewi S. W. Gould, Sakura Schafer-Nameki, Yi-Nan Wang
Summary: We derive symmetry topological field theories (SymTFTs) for 3d supersymmetric quantum field theories (QFTs) constructed in M-theory. The SymTFTs encode the symmetry structures of the QFTs, including generalized global symmetries and 't Hooft anomalies. Using differential cohomology, we derive the SymTFT by reducing M-theory on a 7-manifold, either the linkage of a conical Calabi-Yau fourfold or part of an AdS(4) x Y-7 holographic solution. In the holographic setting, we derive the SymTFT for 3d N = 6 ABJ(M) theories and 3d N = 2 quiver gauge theories, which have holographic duals based on Sasaki-Einstein 7-manifolds.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Jonathan J. Heckman, Craig Lawrie, Ling Lin, Hao Y. Zhang, Gianluca Zoccarato
Summary: The center-flavor symmetry determines the global form of background field configurations in gauge theories. We determine the global structure of such configurations in 6D gauge theories, including possible continuous Abelian symmetry and R-symmetry. This has important implications for understanding 4D SCFTs.
Article
Astronomy & Astrophysics
Mirjam Cvetic, Markus Dierigl, Ling Lin, Hao Y. Zhang
Summary: This article discusses a method to classify 8D N=1 string vacua using string and brane junctions, which involves extending the description of ordinary 7-branes to include O7(+) planes and encoding the dynamics of sp(n) gauge algebras. Loop junctions play a central role in revealing the affine symmetries of emergent 9D descriptions at the boundaries of the 8D moduli space.
Article
Astronomy & Astrophysics
Mirjam Cvetic, Ling Lin, Andrew P. Turner
Summary: This article argues for the quantum-gravitational inconsistency of certain 6D N = (1, 0) supergravity theories and explains why the majority of these theories are not compatible with quantum gravity constraints using flavor symmetries. It also discusses how the automatic enhancement to a larger gauge sector remedies this inconsistency.