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Schur Connections: Chord Counting, Line Operators, and Indices
Oscar Lewis, Mark Mezei, Matteo Sacchi +1
Recently, an intriguing correspondence was conjectured in arXiv:2409.11551 between Schur half-indices of pure 4d supersymmetric Yang-Mills (SYM) theory with…
Boundary SymTFT
Lakshya Bhardwaj, Christian Copetti, Daniel Pajer +1
We study properties of boundary conditions (BCs) in theories with categorical (or non-invertible) symmetries. We describe how the transformation properties, or (generalized) charge…
SymTFT for (3+1)d Gapless SPTs and Obstructions to Confinement
Andrea Antinucci, Christian Copetti, Sakura Schafer-Nameki
We study gapless phases in (3+1)d in the presence of 1-form and non-invertible duality symmetries. Using the Symmetry Topological Field Theory (SymTFT) approach, we classify the ga…
Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I
Lakshya Bhardwaj, Daniel Pajer, Sakura Schafer-Nameki +3
We use the Symmetry Topological Field Theory (SymTFT) to study and classify gapped phases in (2+1)d for a class of categorical symmetries, referred to as being of bosonic type. The…
The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries
Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer +1
We provide a generalization of the Symmetry Topological Field Theory (SymTFT) framework to characterize phase transitions and gapless phases with categorical symmetries. The centra…
Gapped Phases with Non-Invertible Symmetries: (1+1)d
Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer +1
We propose a general framework to characterize gapped infra-red (IR) phases of theories with non-invertible (or categorical) symmetries. In this paper we focus on (1+1)d gapped pha…
Aspects of Categorical Symmetries from Branes: SymTFTs and Generalized Charges
Fabio Apruzzi, Federico Bonetti, Dewi S. W. Gould +1
Recently it has been observed that branes in geometric engineering and holography have a striking connection with generalized global symmetries. In this paper we argue that branes,…
Generalized Charges, Part II: Non-Invertible Symmetries and the Symmetry TFT
Lakshya Bhardwaj, Sakura Schafer-Nameki
Consider a d-dimensional quantum field theory (QFT) , with a generalized symmetry , which may or may not be invertible. We study the action of $\mathcal{…
Generalized Charges, Part I: Invertible Symmetries and Higher Representations
Lakshya Bhardwaj, Sakura Schafer-Nameki
-charges describe the possible actions of a generalized symmetry on -dimensional operators. In Part I of this series of papers, we describe -charges for invertible symmetr…
-Manifolds from 4d N=1 Theories, Part I: Domain Walls
Andreas P. Braun, Evyatar Sabag, Matteo Sacchi +1
We propose new -holonomy manifolds, which geometrize the Gaiotto-Kim 4d N=1 duality domain walls of 5d N=1 theories. These domain walls interpolate between different extended…
Generalized Toric Polygons, T-branes, and 5d SCFTs
Antoine Bourget, Andrés Collinucci, Sakura Schafer-Nameki
5d Superconformal Field Theories (SCFTs) are intrinsically strongly-coupled UV fixed points, whose realization hinges on string theoretic methods: they can be constructed by compac…
Generalized Symmetries and Anomalies of 3d N=4 SCFTs
Lakshya Bhardwaj, Mathew Bullimore, Andrea E. V. Ferrari +1
We study generalized global symmetries and their 't Hooft anomalies in 3d N=4 superconformal field theories (SCFTs). Following some general considerations, we focus on good quiver…
Non-Invertible Symmetry Webs
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1
Non-invertible symmetries have by now seen numerous constructions in higher dimensional Quantum Field Theories (QFT). In this paper we provide an in depth study of gauging 0-form s…
Unifying Constructions of Non-Invertible Symmetries
Lakshya Bhardwaj, Sakura Schafer-Nameki, Apoorv Tiwari
In the past year several constructions of non-invertible symmetries in Quantum Field Theory in have appeared. In this paper we provide a unified perspective on these cons…
Symmetry TFTs for 3d QFTs from M-theory
Marieke van Beest, Dewi S. W. Gould, Sakura Schafer-Nameki +1
We derive the Symmetry Topological Field Theories (SymTFTs) for 3d supersymmetric quantum field theories (QFTs) constructed in M-theory either via geometric engineering or holograp…
Universal Non-Invertible Symmetries
Lakshya Bhardwaj, Sakura Schafer-Nameki, Jingxiang Wu
It is well-known that gauging a finite 0-form symmetry in a quantum field theory leads to a dual symmetry generated by topological Wilson line defects. These are described by the r…
Non-Invertible Symmetries from Holography and Branes
Fabio Apruzzi, Ibrahima Bah, Federico Bonetti +1
We propose a systematic approach to deriving symmetry generators of Quantum Field Theories in holography. Central to this are the Gauss law constraints in the Hamiltonian quantizat…
Anomalies of Generalized Symmetries from Solitonic Defects
Lakshya Bhardwaj, Mathew Bullimore, Andrea E. V. Ferrari +1
We propose the general idea that 't Hooft anomalies of generalized global symmetries can be understood in terms of the properties of solitonic defects, which generically are non-to…
Non-Invertible Higher-Categorical Symmetries
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1
We sketch a procedure to capture general non-invertible symmetries of a d-dimensional quantum field theory in the data of a higher-category, which captures the local properties of…
Relative Defects in Relative Theories: Trapped Higher-Form Symmetries and Irregular Punctures in Class S
Lakshya Bhardwaj, Simone Giacomelli, Max Hubner +1
A relative theory is a boundary condition of a higher-dimensional topological quantum field theory (TQFT), and carries a non-trivial defect group formed by mutually non-local defec…
Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions
Cyril Closset, Sakura Schafer-Nameki, Yi-Nan Wang
Compactification of M-theory and of IIB string theory on threefold canonical singularities gives rise to superconformal field theories (SCFTs) in 5d and 4d, respectively. The resol…
Holography, 1-Form Symmetries, and Confinement
Fabio Apruzzi, Marieke van Beest, Dewi S. W. Gould +1
We study confinement in 4d Super-Yang Mills (SYM) from a holographic point of view, focusing on the 1-form symmetry and its relation to chiral symmetry brea…
5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
Cyril Closset, Simone Giacomelli, Sakura Schafer-Nameki +1
Canonical threefold singularities in M-theory and Type IIB string theory give rise to superconformal field theories (SCFTs) in 5d and 4d, respectively. In this paper, we study cano…
(5d RG-flow) Trees in the Tropical Rain Forest
Marieke van Beest, Antoine Bourget, Julius Eckhard +1
5d superconformal field theories (SCFTs) can be obtained from 6d SCFTs by circle compactification and mass deformation. Successive decoupling of hypermultiplet matter and RG-flow g…