13 citations · 34 across the 11 of their papers we have counts for
8 papers · 1 filter
Generalized Level-Rank Duality, Holomorphic Conformal Field Theory, and Non-Invertible Anyon Condensation
Clay Cordova, Diego García-Sepúlveda, Jeffrey A. Harvey
We study the interplay between holomorphic conformal field theory and dualities of 3D topological quantum field theories generalizing the paradigm of level-rank duality. A holomorp…
Higgsing Transitions from Topological Field Theory & Non-Invertible Symmetry in Chern-Simons Matter Theories
Clay Cordova, Diego García-Sepúlveda, Kantaro Ohmori
Non-invertible one-form symmetries are naturally realized in (2+1)d topological quantum field theories. In this work, we consider the potential realization of such symmetries in (2…
Particle-Soliton Degeneracy in 2D Quantum Chromodynamics
Clay Cordova, Diego García-Sepúlveda, Nicholas Holfester
Quantum chromodynamics in two spacetime dimensions admits a finite non-invertible symmetry described mathematically by a fusion category. This symmetry is spontaneously broken at l…
Topological Cosets via Anyon Condensation and Applications to Gapped
Clay Cordova, Diego García-Sepúlveda
The coset construction of two-dimensional conformal field theory (2D CFT) defines a 2D CFT by taking the quotient of two previously known chiral algebras. In this work, we use the…
Representation Theory of Solitons
Clay Cordova, Nicholas Holfester, Kantaro Ohmori
Solitons in two-dimensional quantum field theory exhibit patterns of degeneracies and associated selection rules on scattering amplitudes. We develop a representation theory that c…
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 Symmetry in Calabi-Yau Conformal Field Theories
Clay Cordova, Giovanni Rizi
We construct examples of non-invertible global symmetries in two-dimensional superconformal field theories described by sigma models into Calabi-Yau target spaces. Our construction…
Non-Invertible Anyon Condensation and Level-Rank Dualities
Clay Cordova, Diego García-Sepúlveda
We derive new dualities of topological quantum field theories in three spacetime dimensions that generalize the familiar level-rank dualities of Chern-Simons gauge theories. The ke…