A remark on Kac-Wakimoto hierarchies of D-type

作者:Wu Chao Zhong*
来源:Journal of Physics A-Mathematical and Theoretical, 2010, 43(3): 035201.
DOI:10.1088/1751-8113/43/3/035201

摘要

For the Kac-Wakimoto hierarchy constructed from the principal vertex operator realization of the basic representation of the affine Lie algebra D-n((1)), we compute the coefficients of the corresponding Hirota bilinear equations, and verify the coincidence of these bilinear equations with the ones that are satisfied by Givental's total descendant potential of the Dn singularity, as conjectured by Givental and Milanov (2005 Simple singularities and integrable hierarchies The Breadth of Symplectic and Poisson Geometry (Prog. Math. vol 232) (Boston: Birkhauser) pp 173-201).