50 citations · 84 across the 7 of their papers we have counts for
7 papers
Gapped theories have torsion anomalies
Clay Córdova, Daniel S. Freed, Constantin Teleman
We prove special cases of a general conjecture: If an invertible field theory admits a projectively topological boundary theory, then it has finite order in the abelian group of in…
Particle-Soliton Degeneracies from Spontaneously Broken Non-Invertible Symmetry
Clay Cordova, Diego García-Sepúlveda, Nicholas Holfester
We study non-invertible topological symmetry operators in massive quantum field theories in (1+1) dimensions. In phases where this symmetry is spontaneously broken we show that the…
Non-Invertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem
Clay Cordova, Sungwoo Hong, Seth Koren
We consider theories of gauged quark flavor and identify non-invertible Peccei-Quinn symmetries arising from fractional instantons when the resulting gauge group has non-trivial gl…
Axion Domain Walls, Small Instantons, and Non-Invertible Symmetry Breaking
Clay Cordova, Sungwoo Hong, Lian-Tao Wang
Non-invertible global symmetry often predicts degeneracy in axion potentials and carries important information about the global form of the gauge group. When these symmetries are s…
Quantum Duality in Electromagnetism and the Fine-Structure Constant
Clay Cordova, Kantaro Ohmori
We describe the interplay between electric-magnetic duality and higher symmetry in Maxwell theory. When the fine-structure constant is rational, the theory admits non-invertible sy…
Anomalies of categorical symmetries
Carolyn Zhang, Clay Córdova
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 corresponding Drinfe…