A remark on Kac–Wakimoto hierarchies of D-type

@article{Wu2009ARO,
  title={A remark on Kac–Wakimoto hierarchies of D-type},
  author={Chao-Zhong Wu},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2009},
  volume={43},
  pages={035201}
}
  • Chao-Zhong Wu
  • Published 29 June 2009
  • Mathematics
  • Journal of Physics A: Mathematical and Theoretical
For the Kac–Wakimoto hierarchy constructed from the principal vertex operator realization of the basic representation of the affine Lie algebra D(1)n, 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… 

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