INTEGRABILITY OF ONE-PARAMETER GROUPS GENERATED BY THE VIRASORO OPERATORS

摘要

Local one-parameter groups generated by the Virasoro operators were constructed via Feynman path integrals on a coadjoint of the infinite-dimensional Heisenberg group in the previous paper [T. Hashimoto, 1996. J. Funct. Anal. 137, 191-218]. The main purpose of this paper is to prove that the one-parameter groups satisfy the integrability condition, i.e., the actions of the one-parameter subgroups are compatible with the action of the Virasoro algebra. (C) 1997 Academic Press. [References: 11]