Article
Physics, Particles & Fields
Junchen Rong, Ning Su
Summary: Using numerical bootstrap method, the critical exponents of minimal three-dimensional N = 1 Wess-Zumino models with cubic superpotential W similar to dijk Phi i Phi j Phi k are determined, where the tensor d(ijk) is taken to be the invariant tensor of specific permutation or Lie groups. The study also observes super-multiplet recombination, allowing for the determination of the scaling dimension of the super-field (Phi).
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Matthew Buican, Hongliang Jiang
Summary: In this study, the authors systematically examine 4D N = 2 superconformal field theories constructed via isolated hypersurface singularities in C-4 using type IIB string theory. They show that theories in this class without exactly marginal deformations do not possess 1-form symmetry, which may have origins in gauge groups. Furthermore, it is suggested that general interacting 4D N = 2 SCFTs with Coulomb branch chiral ring generators of dimension less than two also lack 1-form symmetry.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
M. O. Katanaev
Summary: The global conformal gauge plays a crucial role in string theory as the basis for quantization. It has been locally known for two-dimensional Lorentzian metrics for a long time. This study proves the global existence of the conformal gauge on the whole R2 for Lorentzian metrics on a plane, as well as on infinite strips representing worldsheets for open and closed bosonic strings with straight boundaries. It also proves the global existence of the conformal gauge on the whole plane for positive definite Riemannian metrics.
EUROPEAN PHYSICAL JOURNAL C
(2021)
Article
Physics, Particles & Fields
Daniel G. Robbins, Eric Sharpe, Thomas Vandermeulen
Summary: This paper describes a generalization of decomposition in orbifolds, taking into account the impact of discrete torsion on the decomposition process. The study shows that even in the presence of discrete torsion, one can still observe rudiments of decomposition.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
A. Bissi, F. Fucito, A. Manenti, J. F. Morales, R. Savelli
Summary: This paper investigates the calculation of physical quantities in certain quantum field theories, specifically the Argyres-Douglas type. Two alternative approaches, localization and conformal bootstrap, are used to tackle this problem. The results show good agreement between the two methods in rank-one cases and the rank-two Argyres-Douglas theories, and the localization results provide bounds on the dimensions of the lightest neutral unprotected operators in CFTs.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Yifan Wang
Summary: Through the use of supersymmetric localization, it is found that the N = 4 super-Yang-Mills (SYM) theory on unorientable spacetime manifold can be effectively captured by a two-dimensional bosonic Yang-Mills (YM) theory. This provides a foundation for understanding the relationship between the two theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Oleg Lunin, Jia Tian
Summary: The research focuses on the dynamics of scalar and vector fields on gravitational backgrounds of the Wess-Zumino-Witten models, showing a full separation of variables for all fields in SO(4) and its cosets, similar to the separation of vector equations in the backgrounds of the Myers-Perry black holes. However, separation of variables is only found in some subsectors for SO(5) and higher groups.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Lakshya Bhardwaj
Summary: In this series of papers, a general method for determining the flavor symmetry of 5d SCFTs has been described and applied to explicitly determine the flavor symmetry of those 5d SCFTs. When these 5d SCFTs reduce to 5dN = 1 gauge theories upon a mass deformation, their flavor symmetry is often enhanced at the conformal point.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Aleix Gimenez-Grau, Pedro Liendo
Summary: The study applies numerical conformal bootstrap to superconformal theories, obtaining consistent results and improving bounds on OPE coefficients for selected Argyres-Douglas models. It also analyzes mixed correlators of Coulomb and Higgs branch operators, imposing general constraints on CFT data in new channels, with a focus on a specific Argyres-Douglas model with non-trivial flavor symmetry.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Stefano Giaccari, Roberto Volpato
Summary: In quantum field theory, orbifolds are obtained by gauging a finite global symmetry, but this does not apply to quantum gravity theories. In string theory, orbifolds involve gauging global symmetries on the world-sheet theory or quotienting isometries. We propose a new formulation of string orbifolds based on the gauge symmetries of a given string model. Through examples, we show how the higher group structure of the parent theory determines the gauge group and twisted sector of the orbifold theory. The dependence of this orbifold procedure on the duality frame is also discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Kirsty Gledhill, Amihay Hanany
Summary: This paper presents a method for constructing 3D N = 4 unitary quivers with enhanced global symmetry, motivated by the study of Coulomb branch Hasse diagrams. These quivers provide examples for testing improved algorithms in identifying the Coulomb branch global symmetry reliably.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Adam Bzowski, Guido Festuccia, Vladimir Prochazka
Summary: The passage discusses how to remove the anomaly in supersymmetry in the presence of an R-symmetry anomaly and enlarging the corresponding current multiplet. It also explores the additional effects on Ward identities for other existing anomalies when the supersymmetry anomaly is removed. Finally, it validates the modified consistency conditions through explicit computation using Pauli-Villars regulators.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Jihwan Oh
Summary: In this study, we compute the ray index in 5d superconformal field theory and find that the ray-like defects have non-trivial charges under the center of the global symmetry. This suggests the existence of non-trivial OPE relations between the ray-like defects in the UV theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Andreas P. Braun, Jin Chen, Babak Haghighat, Marcus Sperling, Shuhang Yang
Summary: The study investigates circle compactifications of 6d superconformal field theories that lead to 5d rank 1 and rank 2 Kaluza-Klein theories. By including explicit dependence on bare gauge couplings and mass parameters, an accurate parametrisation of the prepotential including all parameters of the field theory is achieved. The resulting geometries exhibit a fibre-base duality, relating their six-dimensional origin to the purely five-dimensional quantum field theory interpretation.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Marco Fazzi, Simone Giacomelli, Suvendu
Summary: We analyze the 6d (1, 0) SCFTs known as massive E-string theories in massive Type IIA with 8 - n(0) < 8 D8-branes close to an O8(-) (or O8* if n(0) = 8, 9), extending the analysis from [9]. The classification of the massive E1+(8-n0)-strings for different choices of n(0) is done using constrained E-8 Kac labels, which also reveal the flavor subalgebra of E1+(8-n0) for each SCFT. Hierarchies of Higgs branch RG flows are constructed for two types: flows between massive theories defined by the same n(0) but different labels, and flows between massive theories with different n(0), triggered by T-brane vev's for the right SU factor of the SCFT global symmetry.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Cyril Closset, Sakura Schafer-Nameki, Yi-Nan Wang
Summary: This paper mainly discusses the five-dimensional and four-dimensional superconformal field theories arising from canonical threefold singularities in M-theory and Type IIB string theory. It studies their Coulomb and Higgs branches, and proposes a relation between the resulting moduli spaces through compactification, mirror symmetry, and gauging. By applying this framework, it determines the Higgs branches of some 5d SCFTs and their magnetic quivers. Finally, it also computes the higher-form symmetries of the 4d and 5d SCFTs.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Lakshya Bhardwaj, Sakura Schafer-Nameki
Summary: The paper describes general methods for determining higher-form symmetry groups of known 5d and 6d superconformal field theories (SCFTs) and 6d little string theories (LSTs). It delves into the complexity and subtleties arising from the interaction of BPS excitations and gauge group centers in describing the 1-form symmetry of these theories. Furthermore, it discusses ways to determine the 2-form symmetry group of 6d theories using the Green-Schwarz coupling associated with the theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Marieke van Beest, Antoine Bourget, Julius Eckhard, Sakura Schafer-Nameki
Summary: This paper investigates the generation process of 5d SCFTs from 6d SCFTs, including the decoupling of hypermultiplet matter, RG-flow, and the construction of decoupling trees. By using the approach of generalized toric polygons, magnetic quivers and Hasse diagrams of 5d SCFTs are systematically derived, and the Higgs branches of various 5d KK-theories and their descendants are computed.
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, Multidisciplinary
Lakshya Bhardwaj, Max Hubner, Sakura Schafer-Nameki
Summary: The study identified the 1-form symmetry group for 4d N = 2 class S theories constructed by compactifying 6d theories on a Riemann surface, discussing the construction process and related elements, as well as exploring the possibility of generalizing the results. Additionally, the 1-form symmetry was derived from a Type IIB realization of class S theories to complement the analysis from 6d.
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
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, Multidisciplinary
Fabio Apruzzi, Sakura Schafer-Nameki, Lakshya Bhardwaj, Jihwan Oh
Summary: The article discusses the existence and properties of 2-group symmetries in 5-dimensional superconformal field theories. The authors discover 2-group symmetries in 5-dimensional N=1 abelian gauge theories and determine the global forms of 0-form flavor symmetry groups in 5-dimensional SCFTs. The analysis also includes the study of 2-group symmetries in 5-dimensional N=1 non-abelian gauge theories and their relation to mixed 't Hooft anomalies between 1-form and 0-form symmetries.
Article
Physics, Multidisciplinary
Lakshya Bhardwaj, Simone Giacomelli, Max Hubner, Sakura Schafer-Nameki
Summary: This paper studies codimension-two defects in 6d N=(2,0) theories, and finds that the line defects living inside these codimension-two defects form a defect group. These relative defects provide boundary conditions for topological defects of the 7d bulk TQFT and play a key role in the construction of 4d N=2 Class S theories.
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, Multidisciplinary
Michele Del Zotto, Inaki Garcia-Etxebarria, Sakura Schafer-Nameki
Summary: This paper presents a method for determining the 2-group structure from the boundary geometry of M-theory background, and illustrates and confirms the results on 2-groups from geometric engineering in specific backgrounds.
Article
Astronomy & Astrophysics
Fabio Apruzzi, Marieke van Beest, Dewi S. W. Gould, Sakura Schafer-Nameki
Summary: This study focuses on confinement in 4d N = 1 SU(N) Super-Yang Mills theory, with an emphasis on the 1-form symmetry and its relation to chiral symmetry breaking. By examining the topological couplings in the 5d truncation of the Klebanov-Strassler solution, the determination of the 1-form symmetry and its 't Hooft anomalies is identified. The research also reveals an infrared 4d topological field theory that realizes chiral symmetry breaking and matches the mixed anomaly, shedding light on the connection between different symmetries in the theory.
Article
Physics, Particles & Fields
Cyril Closset, Simone Giacomelli, Sakura Schaefer-Nameki, Yi-Nan Wang
Summary: Canonical hypersurface singularities in M-theory and Type IIB string theory lead to 5d and 4d superconformal field theories (SCFTs), respectively. This paper focuses on a specific class of 'trinion' singularities in Type IIB, which give rise to 4d N = 2 SCFTs known as Dpb(G)-trinions. Reducing these 4d and 5d SCFTs to 3d N = 4 theories helps determine their electric and magnetic quivers.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)