Vertex Algebras and CostelloGwilliam Factorization Algebras
Abstract
Vertex algebras and factorization algebras are two approaches to chiral conformal field theory. Costello and Gwilliam describe how every holomorphic factorization algebra on the plane of complex numbers satisfying certain assumptions gives rise to a Zgraded vertex algebra. They construct some models of chiral conformal theory as factorization algebras. We attach a factorization algebra to every Zgraded vertex algebra.
 Publication:

arXiv eprints
 Pub Date:
 December 2020
 arXiv:
 arXiv:2012.12214
 Bibcode:
 2020arXiv201212214B
 Keywords:

 Mathematics  Quantum Algebra;
 Mathematical Physics;
 17B69 (Primary);
 81T40 (Secondary)
 EPrint:
 50 pages, comments welcome