Negative Generators of the Virasoro Constraints for the BKP Hierarchy

Details Negative Generators of the Virasoro Constraints for the BKP Hierarchy Negative Generators of the Virasoro Constraints for the BKP Hierarchy

2008-11-13

arxiv.org/abs/0811.2021v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

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

Scientific paper

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.

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