Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …
Higher gauging and non-invertible condensation defects
We discuss invertible and non-invertible topological condensation defects arising from
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …
gauging a discrete higher-form symmetry on a higher codimensional manifold in spacetime …
Noninvertible duality defects in dimensions
For any quantum system invariant under gauging a higher-form global symmetry, we
construct a noninvertible topological defect by gauging in only half of the spacetime. This …
construct a noninvertible topological defect by gauging in only half of the spacetime. This …
Snowmass white paper: Generalized symmetries in quantum field theory and beyond
Symmetry plays a central role in quantum field theory. Recent developments include
symmetries that act on defects and other subsystems, and symmetries that are categorical …
symmetries that act on defects and other subsystems, and symmetries that are categorical …
Non-invertible condensation, duality, and triality defects in 3+ 1 dimensions
We discuss a variety of codimension-one, non-invertible topological defects in general 3+ 1d
QFTs with a discrete one-form global symmetry. These include condensation defects from …
QFTs with a discrete one-form global symmetry. These include condensation defects from …
Noninvertible time-reversal symmetry
In gauge theory, it is commonly stated that time-reversal symmetry only exists at θ= 0 or π for
a 2 π-periodic θ angle. In this Letter, we point out that in both the free Maxwell theory and …
a 2 π-periodic θ angle. In this Letter, we point out that in both the free Maxwell theory and …
Asymptotic density of states in 2d CFTs with non-invertible symmetries
A bstract It is known that the asymptotic density of states of a 2d CFT in an irreducible
representation ρ of a finite symmetry group G is proportional to (dim ρ) 2. We show how this …
representation ρ of a finite symmetry group G is proportional to (dim ρ) 2. We show how this …
Anomalies of categorical symmetries
C Zhang, C Córdova - arXiv preprint arXiv:2304.01262, 2023 - arxiv.org
We present a general approach for detecting when a fusion category symmetry is
anomalous, based on the existence of a special kind of Lagrangian algebra of the …
anomalous, based on the existence of a special kind of Lagrangian algebra of the …
Anomalies of -dimensional categorical symmetries
C Zhang, C Córdova - Physical Review B, 2024 - APS
We present a general approach for detecting when a fusion category symmetry is
anomalous, based on the existence of a special kind of Lagrangian algebra of the …
anomalous, based on the existence of a special kind of Lagrangian algebra of the …
Noninvertible symmetry-resolved Affleck-Ludwig-Cardy formula and entanglement entropy from the boundary tube algebra
We derive a refined version of the Affleck-Ludwig-Cardy formula for a 1+ 1 D conformal field
theory, which controls the asymptotic density of high energy states on an interval …
theory, which controls the asymptotic density of high energy states on an interval …