A quantum field comonad

2023/05/29 by van Ekeren, Jethro
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2305.18223

Abstract

We encapsulate the basic notions of the theory of vertex algebras into the construction of a comonad on an appropriate category of formal distributions. Vertex algebras are recovered as coalgebras over this comonad.

Related

• Classical and quantum conformal field theories
• Vertex Algebras in Higher Dimensions and Globally Conformal Invariant Quantum Field Theory
• Coalgebras and quantization
• Coends in conformal field theory
• Genera of Vertex Operator Algebras and three dimensional Topological Quantum Field Theories