309 citations · 2.7k across the 49 of their papers we have counts for
51 papers
Enhancing the phase sensitivity of a Mach-Zehnder interferometer beyond the Heisenberg limit through dynamic squeezing
Lakshya Bhardwaj, Ankit Tiwari, Mohan Sarovar +1
We propose a method to enhance the phase sensitivity of a Mach-Zehnder interferometer, independent of its input states. This is achieved by applying squeezing sequences to one arm…
Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part II
Lakshya Bhardwaj, Sakura Schafer-Nameki, Apoorv Tiwari +1
We use the Symmetry Topological Field Theory (SymTFT) to systematically characterize gapped phases in 2+1 dimensions with categorical symmetries. The SymTFTs that we consider are (…
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…
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…
Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs
Lakshya Bhardwaj, Kansei Inamura, Apoorv Tiwari
We study fermionic non-invertible symmetries in (1+1)d, which are generalized global symmetries that mix fermion parity symmetry with other invertible and non-invertible internal s…
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…
Lectures on Generalized Symmetries
Lakshya Bhardwaj, Lea E. Bottini, Ludovic Fraser-Taliente +4
These are a set of lecture notes on generalized global symmetries in quantum field theory. The focus is on invertible symmetries with a few comments regarding non-invertible symmet…
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…
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…
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…
Discovering T-Dualities of Little String Theories
Lakshya Bhardwaj
We describe a general method for deducing T-dualities of little string theories, which are dualities between these theories that arise when they are compactified on circle. The met…
Disconnected 0-Form and 2-Group Symmetries
Lakshya Bhardwaj, Dewi S. W. Gould
Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of 0-form symmetries are present. The g…
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…