A Remark on Kac-Wakimoto Hierarchies of D-type

Details A Remark on Kac-Wakimoto Hierarchies of D-type A Remark on Kac-Wakimoto Hierarchies of D-type

2009-06-29

arxiv.org/abs/0906.5360v2

Physics

Mathematical Physics

10 pages

Scientific paper

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 $D_n$ singularity, as conjectured by Givental and Milanov in \cite{GM}

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