A Remark on Kac-Wakimoto Hierarchies of D-type

Abstract

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}

10 pages

References in corpus (1)

• Soliton equations, vertex operators, and simple singularities

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