Vertex (Lie) algebras in higher dimensions
Mathematical Physics
2007-05-23 v1 math.MP
Quantum Algebra
Abstract
Vertex algebras provide an axiomatic algebraic description of the operator product expansion (OPE) of chiral fields in 2-dimensional conformal field theory. Vertex Lie algebras (= Lie conformal algebras) encode the singular part of the OPE, or, equivalently, the commutators of chiral fields. We discuss generalizations of vertex algebras and vertex Lie algebras, which are relevant for higher-dimensional quantum field theory.
Cite
@article{arxiv.math-ph/0608054,
title = {Vertex (Lie) algebras in higher dimensions},
author = {Bojko Bakalov},
journal= {arXiv preprint arXiv:math-ph/0608054},
year = {2007}
}
Comments
Hermann Weyl prize lecture presented at the 26th International Colloquium on Group Theoretical Methods in Physics, New York, June 27, 2006