A remark on KacWakimoto hierarchies of Dtype
Abstract
For the KacWakimoto 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 D_{n} 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: Birkhäuser) pp 173201).
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 January 2010
 DOI:
 10.1088/17518113/43/3/035201
 arXiv:
 arXiv:0906.5360
 Bibcode:
 2010JPhA...43c5201W
 Keywords:

 Mathematical Physics;
 Mathematics  Representation Theory
 EPrint:
 10 pages