CONSTRUCTION OF LOCAL ONE-PARAMETER SUBGROUPS GENERATED BY THE VIRASORO OPERATORS VIA FEYNMAN PATH INTEGRALS

摘要

It is well known that the Virasoro algebra acts on the representations of an infinite-dimensional Heisenberg algebra, called the Fock models. We calculate Feynman path integrals on an coadjoint orbit of the infinite-dimensional Heisenberg group to give explicit formulae of actions of local one-parameters subgroups generated by the Virasoro operators. (C) 1996 Academic Press, Inc. [References: 18]