3 papers
hep-th2026
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…
hep-th2026
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…
math.QA2026
Representability of the automorphism group of finitely generated vertex algebras
Terry Gannon, Robin Mader, Arturo Pianzola
We study the automorphism groups attached to a free algebra with multiple, possibly infinitely many, composition laws. As an application, we prove that the automorphism group of fi…