A commutant of beta gamma-system associated to the highest weight module V-4 of sl(2,C)

作者:Chu, Yan-Jun*; Huang, Fang; Zheng, Zhu-Jun
来源:Journal of Mathematical Physics, 2010, 51(9): 092301.
DOI:10.1063/1.3476318

摘要

Analogous to the commutant in the theory of associative algebras, one can construct a new subalgebra of a vertex algebra, known as the vertex algebra commutant. In this paper, for the highest weight module V-4 of Lie algebra sl (2, C), we describe a commutant of beta gamma-system S(V-4) by giving a finite set of generators and operator product expansion relations among generators.