62 citations · 62 across the 2 of their papers we have counts for
4 papers
Classification of Rational Vertex Operator Algebras and Vertex Operator Superalgebras
Terry Gannon, Brandon C. Rayhaun
For mathematicians: In this first in a series of two papers, we give a mathematically rigorous classification of (sufficiently nice) vertex operator algebras (VOAs) and verte…
Hypergroup Symmetry in Relative Quantum Field Theories and Chiral Algebras
Terry Gannon, Brandon C. Rayhaun
A QFT is said to be relative if it lives at the boundary of a topological QFT in one higher dimension. We develop a general framework for working with noninvertible symmetries of r…
Defect Anomalies, a Spin-Flux Duality, and Boson-Kondo Problems
Zohar Komargodski, Fedor K. Popov, Brandon C. Rayhaun
We show that the infrared phases of certain line defects in 2+1d quantum field theories are determined by anomalies, including anomalies in the space of defect coupling constants,…
Kitaev's quantum double model as an error correcting code
Shawn X. Cui, Dawei Ding, Xizhi Han +4
Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum…