Related references
Note: Only part of the references are listed.
Article
Physics, Multidisciplinary
Lakshya Bhardwaj et al.
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
Francesco Benini et al.
Summary: We consider toy models of holography based on 3d Chern-Simons theory and propose an alternative approach to gauge a one-form global symmetry of the bulk theory rather than summing over bulk geometries. This approach ensures that the bulk theory has no global symmetries and makes the partition function on spacetimes with boundaries coincide with that of a modular-invariant 2d CFT on the boundary. In the case of non-Abelian Chern-Simons theories, the gauging of the relevant one-form symmetry corresponds to the condensation of a Lagrangian anyon.
Article
Physics, Multidisciplinary
Justin Kaidi et al.
Summary: We introduce a class of noninvertible topological defects in (3 + 1)D gauge theories whose fusion rules are the higher-dimensional analogs of those of the Kramers-Wannier defect in the (1 + 1)D critical Ising model. Examples include SO(3) Yang-Mills (YM) at theta = pi, N = 1 SO(3) super YM, and N = 4 SU(2) super YM at tau = i. We also introduce an analogous construction in (2 + 1)D, and give a number of examples in Chern-Simons matter theories.
PHYSICAL REVIEW LETTERS
(2022)
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, Particles & Fields
Justin Kaidi et al.
Summary: The paper discusses the application of non-invertible symmetries in RG flows of quantum field theories. By using non-invertible twisted compactification, entirely new RG flows can be generated. The example of twisted compactification of 4d N = 4 SYM to three dimensions is used to illustrate this idea, showing that non-invertible symmetries can be used to obtain 3d N = 6 theories that are otherwise unreachable.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Multidisciplinary
Ling Lin et al.
Summary: This paper outlines the application of decomposition to condensation defects and their fusion rules. It explains how condensation defects are obtained by gauging a higher-form symmetry along a submanifold and demonstrates the interplay with decomposition. It also discusses the construction of new defects and computation of their fusion products, utilizing decomposition and the role of theta angles for gauged higher-form symmetries in selecting individual universes within decomposition.
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
Lakshya Bhardwaj et al.
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
Inaki Garcia Etxebarria
Summary: N=4 supersymmetric Yang-Mills theories with algebra so(4N) and appropriate global structure choices can exhibit non-invertible symmetries. We identify the holographic dual branes associated with these non-invertible symmetries and derive the fusion rules for the symmetries from the branes' worldvolume dynamics.
FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
Yichul Choi et al.
PHYSICAL REVIEW LETTERS
(2022)
Article
Astronomy & Astrophysics
Yichul Choi et al.
Summary: This study investigates non-invertible topological defects in quantum systems with higher-form global symmetry and explores their explicit realizations in various cases.
Article
Physics, Particles & Fields
Davide Gaiotto et al.
Summary: The article reviews the properties of orbifold operations in two-dimensional quantum field theories and discusses the Orbifold groupoids that control the composition of orbifold operations. Three-dimensional TQFT's of Dijkgraaf-Witten type are highlighted for their important role in the analysis. The extension to generalized symmetries and applications to constrain RG flows is briefly discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Ibrahima Bah et al.
Summary: The authors extend anomaly inflow methods from M-theory to SCFTs engineered via D3-branes in type IIB. They demonstrate that the 't Hooft anomalies of these SCFTs can be systematically computed from their geometric definition. The procedure is tested in several 4d examples and applied to 2d theories obtained by wrapping D3-branes on a Riemann surface.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Ibrahima Bah et al.
Summary: The study analyzes the topological mass terms of BF type in supersymmetric M-theory compactifications to AdS(5) and discusses the dual field theories with distinct global discrete symmetries resulting from different choices of boundary conditions for the BF terms. It provides a detailed discussion on the 't Hooft anomalies for 4d N = 1 SCFTs arising from M5-branes wrapped on a Riemann surface without punctures, including theories from M5-branes at a DOUBLE-STRUCK CAPITAL Z(2) orbifold singularity. The anomaly polynomial computation through inflow reveals background fields for discrete global 0-, 1-, and 2-form symmetries, continuous 0-form symmetries, and axionic background fields properly interpreted in the context of anomalies in the space of coupling constants.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Ben Heidenreich et al.
Summary: It is believed that consistent theories of quantum gravity can be restored by broadening the concept of symmetry to include non-invertible topological operators, and the absence of these operators is sufficient to guarantee a complete spectrum for any compact, possibly disconnected gauge group. In addition, the completeness of twist vortices defined by a discrete holonomy around their worldvolume has also been proven.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Fabio Apruzzi et al.
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
Ibrahima Bah et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Editorial Material
Physics, Multidisciplinary
Po-Shen Hsin et al.
Article
Physics, Particles & Fields
Davide Gaiotto et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2017)
Article
Physics, Particles & Fields
Davide Gaiotto et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2015)
Article
Physics, Mathematical
Daniel S. Freed et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2014)
Article
Physics, Particles & Fields
Davide Cassani et al.
Article
Physics, Particles & Fields
IR Klebanov et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2000)
Article
Physics, Particles & Fields
IR Klebanov et al.