Article
Physics, Particles & Fields
Bohan Li, Dan Xie, Wenbin Yan
Summary: There are two major ways to construct 4d N = 2 superconformal field theories: placing a 6d (2, 0) theory on a punctured Riemann surface (class-S theory), and placing type IIB string theory on a 3d canonical singularity. We search all possibilities from these two constructions to study low rank theories, mostly engineered by class-S theory with irregular singularities. We find a universal formula for the theory rank, enabling a complete search, and compute various physical quantities such as central charges, flavor symmetry, vertex operator algebra, and Higgs branch. An interesting consequence is the prediction of new isomorphisms of 2d vertex operator algebras.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Shi Cheng
Summary: This study investigates the mirror symmetry of Abelian three-dimensional N = 2 theories with mixed Chern-Simons levels by transforming them into T-A,T-N theories. It reveals that T-A,T-N theories have multiple mirror dual theories with different mixed CS levels and parameters, and analyzes the mirror symmetry for theories corresponding to knots using sphere partition functions and vortex partition functions.
Article
Physics, Multidisciplinary
Cyril Closset, Horia Magureanu
Summary: The study examines the U-plane and Seiberg-Witten (SW) curve of the simple non-trivial 5d superconformal field theories with E-n flavour symmetry. It classifies all possible Coulomb branch configurations for the E-n theories and their 4d descendants, and explores the global form of the flavour symmetry group. Special points in parameter space are investigated, such as those where flavour symmetry enhances and where specific theories appear.
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
Dan Xie, Wenbin Yan
Summary: In this paper, we investigate the vertex operator algebras (VOAs) of a class of Argeres-Douglas (AD) matters with two types of non-abelian flavor symmetries. By gauging above AD matters, we can find VOAs for more general N = 2 SCFTs engineered from 6d (2, 0) theories. Furthermore, various new interesting properties of 2d VOAs such as level-rank duality, conformal embedding, collapsing levels, and coset constructions for known VOAs can be derived from 4d theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Shai M. Chester
Summary: We establish the precise relations between certain integrals of the conserved flavor current four point function in 4d N = 2 conformal field theories and derivatives of the mass deformed sphere free energy, which can be exactly calculated for gauge theories using supersymmetric localization. For conformal gauge theories with flavor groups of rank greater than one, there are at least two integrated constraints, which can then be combined with the numerical conformal bootstrap to restrict CFT data as a function of the complexified gauge coupling tau. We apply this strategy to the case of SU(2) conformal SQCD with flavor group SO(8), where we compute bounds on unprotected scaling dimensions as a function of tau that match the free theory limit, and demonstrate the expected mixing between the action of the SL(2, Z) duality group and SO(8) triality.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Monica Jinwoo Kang, Craig Lawrie, Jaewon Song
Summary: A set of four-dimensional N 1/4 2 superconformal field theories labeled by simply laced Lie groups Gamma and G were studied, being constructed by gauging conformal matter SCFTs. The resulting theories have identical central charges for certain choices of Gamma and G, with Schur indices related to super-Yang-Mills theory. The theories can be seen as a generalization of affine quiver gauge theory obtained from probing singularities of type Gamma.
Article
Astronomy & Astrophysics
Tadashi Okazaki, Douglas J. Smith
Summary: We investigate Seiberg-like dualities of 3D N=2 general quiver gauge theories coupled to different types of gauge groups and matter fields. By computing supersymmetric indices and checking the matching of half-indices, we provide strong evidence for the proposed dualities. We also extend the dualities to the presence of a boundary with specific boundary conditions.
Article
Physics, Particles & Fields
Sourav Roychowdhury, Dibakar Roychowdhury
Summary: In this study, we compute the spin 2 spectrum associated with massive graviton fluctuations in a-y-deformed Gaiotto-Maldacena background. This spectrum is holographically dual to the marginal deformations of N = 2 SCFTs in four dimensions. By analytically estimating the spectra for both the-y-deformed Abelian T dual (ATD) and non-Abelian T dual (NATD) cases, we find a continuous spectra associated with the breaking of U(1) isometry in the presence of the-y deformation. We also discuss the effects of adding flavour branes and the nature of the associated spin 2 operators in the dual N = 1 SCFTs.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Lea E. Bottini, Chiung Hwang, Sara Pasquetti, Matteo Sacchi
Summary: In this paper, various 4d N = 1 dualities obtained by gluing two E[USp(2N)] blocks and adding fundamental matter are presented. The interpretation of E[USp(2N)] as a 4d S-wall is conjectured.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
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
Antonio Amariti, Simone Rota
Summary: This article studies 3d N = 2 SQCD with symplectic and orthogonal gauge groups and adjoint matter. By relating the confinement of USp(2n) with four fundamentals and an antisymmetric tensor to the confinement of USp(2n) with two fundamentals and SO(N) with one vector, we validate the previous proposal using exact mathematical results from the analysis of the partition function on the squashed three-sphere. Our analysis allows us to conjecture new s-confining theories for a higher number of fundamentals and vectors in the presence of linear monopole superpotentials. We then prove the new dualities through a chain of adjoint deconfinements and s-confining dualities.
Article
Physics, Multidisciplinary
Usman Naseer, Charles Thull
Summary: This study focuses on N = 2 theories in four-dimensional manifolds with a Killing vector v that has isolated fixed points. By coupling position-dependent background fields to the flavor current multiplet, these theories can be deformed. The partition function of the deformed theory only depends on the value of the background scalar fields at the fixed points of v. When the scalars attain special values at the fixed points, the partition function becomes independent of supergravity and flavor background. These findings explain the observed squashing independence of N = 2* theory on the squashed sphere, providing a new squashing independent point. Through the AGT correspondence, this implies the b-independence of torus one-point functions of certain local operators in Liouville/Toda CFT.
Article
Physics, Particles & Fields
Joonho Kim, Seok Kim, Jaewon Song
Summary: This study examines the asymptotic behavior of the (modified) superconformal index for 4d N = 1 gauge theory, finding that the 'high-temperature limit' of the index can be expressed in terms of conformal anomalies. Moreover, the macroscopic entropy of the interacting SCFT system is derived from the asymptotic free energy when certain bounds are satisfied. Additionally, the Carby limit of the index for N = 1 theories dual to AdS(5) x Y-p,Y-p is found to explain the Bekenstein-Hawking entropy of large black holes.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Francesco Benini, Sergio Benvenuti
Summary: The study focuses on three-dimensional sQED with 2 flavors and minimal supersymmetry, exploring models dual to Gross-Neveu-Yukawa theories. The U(2) ultraviolet global symmetry is enhanced in the infrared, such as to O(4) or SU(3), which is similar to the behavior of non-supersymmetric QED with 2 flavors. Perturbative analysis shows that superpotential deformations preserving U(2) in the Gross-Neveu-Yukawa models are irrelevant, indicating stable fixed points with enhanced symmetry. Additionally, an example of N = 2 sQED with 4 flavors is constructed, exhibiting enhanced SO(6) symmetry.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)