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77 papers
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…
Gapless Phases in (2+1)d with Non-Invertible Symmetries
Lakshya Bhardwaj, Yuhan Gai, Sheng-Jie Huang +4
The study of gapless phases with categorical (or so-called non-invertible) symmetries is a formidable task, in particular in higher than two space-time dimensions. In this paper we…
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…
Fusion 3-Categories for Duality Defects
Lakshya Bhardwaj, Thibault Décoppet, Sakura Schafer-Nameki +1
We study the fusion 3-categorical symmetries for quantum theories in (3+1)d with self-duality defects. Such defects have been realized physically by half-space gauging in theories…
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…
Illustrating the Categorical Landau Paradigm in Lattice Models
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1
Recent years have seen the concept of global symmetry extended to non-invertible (or categorical) symmetries, for which composition of symmetry generators is not necessarily invert…
Lattice Models for Phases and Transitions with Non-Invertible Symmetries
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1
Non-invertible categorical symmetries have emerged as a powerful tool to uncover new beyond-Landau phases of matter, both gapped and gapless, along with second order phase transiti…
Hasse Diagrams for Gapless SPT and SSB Phases with Non-Invertible Symmetries
Lakshya Bhardwaj, Daniel Pajer, Sakura Schafer-Nameki +1
We discuss (1+1)d gapless phases with non-invertible global symmetries, also referred to as categorical symmetries. This includes gapless phases showing properties analogous to gap…
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…
Categorical Landau Paradigm for Gapped Phases
Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer +1
We propose a unified framework to classify gapped infra-red (IR) phases with categorical symmetries, leading to a generalized, categorical Landau paradigm. This is applicable in an…
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…