New matrix model solutions to the Kac-Schwarz problem

Adler, M.;Morozov, A.;Shiota, T.;Van Moerbeke, Pierre
(1996) Nuclear Physics, Section B, Proceedings Supplements — Vol. 49, p. 201-212 (1996)

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Authors
  • Adler, M.
    Author
  • Morozov, A.
    Author
  • Shiota, T.
    Author
  • Van Moerbeke, PierreUCLouvain
    Author
Abstract
(en) 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 $[{\cal K}_1,W] = 1$ always leads to Kontsevich type models, in the case of $[{\cal K}_1,W] = W$ the corresponding KP $\tau$-functions are represented as more sophisticated matrix integrals. Comment: 19 pages, latex, no figures, contribution to the proceedings of the 29th International Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany
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Adler, M., Morozov, A., Shiota, T., & Van Moerbeke, P. (1996). New matrix model solutions to the Kac-Schwarz problem. Nuclear Physics, Section B, Proceedings Supplements, 49, 201-212. https://doi.org/10.1016/0920-5632(96)00336-2 (Original work published 1996)