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)
Article
Physics, Particles & Fields
Dongmin Gang, Sungjoon Kim, Kimyeong Lee, Myungbo Shim, Masahito Yamazaki
Summary: A novel procedure is proposed to assign a pair of non-unitary topological quantum field theories to a specific category of superconformal field theories. The modular data of the non-unitary TQFTs are extracted from the supersymmetric partition functions in particular degenerate limits, leading to a lower bound on the round three-sphere free energy of T-rank 0. The bound is saturated by a minimal N=4 SCFT proposed by Gang-Yamazaki, with associated topological theories being the Lee-Yang TQFT.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
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
Sergio Benvenuti, Paolo Spezzati
Summary: In the study of supersymmetric domain walls in four-dimensional N = 1 Sp(N) SQCD with F = N + 1 and F = N + 2 flavors, numerical methods are used to examine the differential equations defining the walls and the 3d N = 1 Chern-Simons-matter theories that describe the effective dynamics on the walls. While various tests are passed, including dualities and matching of the vacua, the semiclassical analysis of vacua for F = N + 2 suggests the presence of strong coupling phenomena yet to be understood in the 3d N = 1 gauge theories.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Hirotaka Hayashi, Tomoki Nosaka, Tadashi Okazaki
Summary: In this study, we explore various conjectural dual descriptions of a stack of M2-branes in M-theory and propose several new dualities of the M2-brane SCFTs by analyzing flavored supersymmetric indices. The mappings of local operators, Coulomb, Higgs, and mixed branch operators as well as global symmetries under the dualities are obtained from the precise matching of the indices. We also find closed form expressions and more useful expressions for certain indices, which are significant for further research.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Simone Giacomelli, Noppadol Mekareeya, Matteo Sacchi
Summary: The paper explores new aspects of AD theories in A-type class S, including the construction of conformal manifolds, structures of the Higgs branch, and features of three-dimensional gauge theories. It introduces new quiver gauge theories and proposes three-dimensional mirror theories for linear quivers associated with AD theories, providing explicit descriptions of magnetic quivers.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Chiung Hwang, Sungjoon Kim, Jaemo Park
Summary: We propose new 3d N = 2 Seiberg-like dualities by considering various monopole superpotential deformations on 3d N = 2 U(N-c) SQCDs with fundamental and adjoint matter fields. We provide nontrivial evidence of these new dualities by comparing the superconformal indices and performing the F-maximization.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
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
Jiakang Bao
Summary: This article deals with quiver Yangians associated with general affine Dynkin diagrams. Although the quivers are not toric in general, the algebras exhibit similar structures. The odd reflections of the affine Dynkin diagrams are expected to correspond to Seiberg duality of the quivers, and the relationships of dual quiver Yangians are investigated. The construction of twisted quiver Yangians is also discussed. It is conjectured that truncations of the (twisted) quiver Yangians yield certain ?�-algebras. Additionally, the screening currents of the ?�-algebras are presented in terms of free field realization in the case of generalized conifolds. Furthermore, toroidal and elliptic algebras for general quivers are explored.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Riccardo Comi, Chiung Hwang, Fabio Marino, Sara Pasquetti, Matteo Sacchi
Summary: Recently, an algorithm for dualizing a theory into its mirror dual has been proposed for 3d N = 4 linear quivers and their 4d N = 1 uplift. This algorithm mimics the manipulations done at the level of the Type IIB brane setup and is based on genuine infra-red dualities. In this paper, the algorithm is generalized to the full duality group, resulting in dualities for 3d N = 3 theories and their 4d N = 1 counterpart. Additionally, three methods to study the RG flows triggered by possible VEVs appearing at the last step of the algorithm are proposed.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Lea E. Bottini, Chiung Hwang, Sara Pasquetti, Matteo Sacchi
Summary: This paper investigates whether a given infra-red duality between quantum field theories can be explained through other more elementary dualities. It focuses on theories with tensor matter and applies the idea of deconfinement, trading tensor matter for extra gauge nodes using elementary dualities. The paper discusses various examples in the context of 4d N = 1 supersymmetric theories related to elliptic hypergeometric integrals, including a new self-duality involving a quiver theory.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
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, Mathematical
Kevin Costello, Tudor Dimofte, Davide Gaiotto
Summary: We study the holomorphic twist of 3d N=2 gauge theories in the presence of boundaries, and examine the algebraic structure of bulk and boundary local operators. Both bulk and boundary local operators form chiral algebras in the holomorphic twist. The bulk algebra is commutative and equipped with a shifted Poisson bracket and a higher stress tensor, while the boundary algebra is a module for the bulk, may not be commutative, and may or may not have a stress tensor. We construct bulk and boundary algebras for free theories and Landau-Ginzburg models, and boundary algebras for gauge theories with matter and/or Chern-Simons couplings, leaving a complete description of bulk algebras for future work. We also discuss the presence of higher A-infinity like structures.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Physics, Particles & Fields
Daniele Dorigoni, Paolo Vallarino
Summary: This work explores the application of supersymmetric localization in N = 4 supersymmetric Yang-Mills theory. By combining lattice sum representation with Goddard-Nuyts-Olive duality, a unified two-dimensional lattice sum representation applicable to all simple gauge groups is provided. Formulas are proposed for both perturbative and non-perturbative expansions for simple gauge groups and common backgrounds. In addition, new results regarding exceptional gauge groups are obtained by deriving Laplace equations for the integrated correlators.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Go Noshita
Summary: We discuss the 5d AGT correspondence of supergroup gauge theories with A-type supergroups. We introduce two intertwiners called positive and negative intertwiners to compute the instanton partition function. The positive intertwiner is the ordinary Awata-Feigin-Shiraishi intertwiner while the negative intertwiner is an intertwiner obtained by using central charges with negative levels. We show that composition of them gives the basic Nekrasov factors appearing in supergroup partition functions. We explicitly derive the instanton partition functions of supergroup gauge theories with A and D-type quiver structures.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Shlomo S. Razamat, Evyatar Sabag, Gabi Zafrir
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Shlomo S. Razamat, Evyatar Sabag
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Shlomo S. Razamat, Gabi Zafrir
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Shlomo S. Razamat, Evyatar Sabag, Gabi Zafrir
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Shlomo S. Razamat, Evyatar Sabag
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Multidisciplinary
Shlomo S. Razamat, David Tong
Summary: The article discusses how to maintain the global symmetry of fermions while using some dynamic mechanisms to achieve chiral symmetry, and studies some models of how to gap fermions while maintaining symmetry groups.
Article
Physics, Multidisciplinary
Chiung Hwang, Shlomo S. Razamat, Evyatar Sabag, Matteo Sacchi
Summary: By compactifying rank Q E-string theory on genus zero surfaces with various fluxes, interesting models with IR enhancements and duality properties can be constructed, such as the S-confinement duality. Furthermore, the theories discussed in four dimensions exhibit an SU(2)(ISO) symmetry that can naturally be identified with the isometry of the two-sphere.
Article
Physics, Multidisciplinary
Shlomo S. Razamat
Summary: Certain structural analogies exist between supersymmetric quiver gauge theories and lattice models leading to fracton phases, where quiver models can be viewed as lattice models with subsystem symmetries, moduli spaces growing linearly with lattice size, and excitations having limited mobility.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Belal Nazzal, Anton Nedelin, Shlomo S. Razamat
Summary: In this study, supersymmetric surface defects in compactifications on punctured Riemann surfaces of the 6d minimal (DN+3, DN+3) conformal matter theories are considered. The introduction of these defects into supersymmetric index computations through the action of the BC1 van Diejen model is investigated using three field theoretic descriptions of the four dimensional models. The generalizations with N > 1 are also explored, revealing the direct relationship to different effective gauge theory descriptions obtained by compactifying the theories on a circle to five dimensions.
Article
Physics, Multidisciplinary
Hee-Cheol Kim, Shlomo S. Razamat
Summary: We discuss the 4D Lagrangian descriptions and IR duals across dimensions for compactifications of the 6D (D, D) minimal conformal matter theory on a sphere with arbitrary number of punctures and a particular value of flux as a gauge theory with a simple gauge group. The Lagrangian takes the form of a star shaped quiver, with the rank of the central node depending on the 6D theory and the number and type of punctures. Using this Lagrangian, we can construct across dimensions duals for arbitrary compactifications of the (D, D) minimal conformal matter theory, gauging only symmetries manifest in the ultraviolet.
PHYSICAL REVIEW LETTERS
(2023)
Article
Astronomy & Astrophysics
Christopher Beem, Palash Singh, Shlomo S. Razamat
Summary: We investigate the unflavored Schur indices of class-S theories of modest rank, and find that many of these theories can be expressed in closed-form expressions in terms of quasimodular forms of level 1 or 2. We also observe that these expressions are typically sums of quasimodular forms of different weights. For type-a(1) theories, we are able to determine the index by making a simple assumption about the family of quasimodular forms and ensuring that the result is regular as q -> 0. In higher-rank cases, a similar simple construction is not available, but we find that these indices can still be expressed in terms of mixed-weight quasimodular forms.
Article
Physics, Particles & Fields
Zohar Komargodski, Shlomo S. Razamat, Orr Sela, Adar Sharon
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Astronomy & Astrophysics
Shlomo S. Razamat, Brian Willett
Article
Physics, Multidisciplinary
Sara Pasquetti, Shlomo S. Razamat, Matteo Sacchi, Gabi Zafrir