English

New matrix model solutions to the Kac-Schwarz problem

High Energy Physics - Theory 2009-10-30 v1

Abstract

We examine the Kac-Schwarz problem of specification of point in Grassmannian in the restricted case of gap-one first-order differential Kac-Schwarz operators. While the pair of constraints satisfying [K1,W]=1[{\cal K}_1,W] = 1 always leads to Kontsevich type models, in the case of [K1,W]=W[{\cal K}_1,W] = W the corresponding KP τ\tau-functions are represented as more sophisticated matrix integrals.

Cite

@article{arxiv.hep-th/9603066,
  title  = {New matrix model solutions to the Kac-Schwarz problem},
  author = {M. Adler and A. Morozov and T. Shiota and P. van Moerbeke},
  journal= {arXiv preprint arXiv:hep-th/9603066},
  year   = {2009}
}

Comments

19 pages, latex, no figures, contribution to the proceedings of the 29th International Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany