Negative Generators of the Virasoro Constraints for the BKP Hierarchy

Abstract

We give a straightforward derivation of the string equation and Virasoro constraints on the $\tau$ function of the BKP hierarchy by means of some special additional symmetry flows. The explicit forms of the actions of these additional symmetry flows on the wave function and then the negative Virasoro generators $L_{-k}$ are given, where $k$ is a positive integer.

11 pages by AMS latex style; To appear in Chinese Quarterly Journal of Mathematics 24(2009)

References in corpus (1)

• On the BKP hierarchy: additional symmetries, Fay identity and Adler-Shiota-van Moerbeke formula