CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae
Mathematical Physics
2012-06-25 v2 math.MP
Probability
Exactly Solvable and Integrable Systems
Abstract
We develop the theory of CKP hierarchy introduced in the papers of Kyoto school [Date E., Jimbo M., Kashiwara M., Miwa T., J. Phys. Soc. Japan 50 (1981), 3806-3812] (see also [Kac V.G., van de Leur J.W., Adv. Ser. Math. Phys., Vol. 7, World Sci. Publ., Teaneck, NJ, 1989, 369-406]). We present appropriate bosonization formulae. We show that in the context of the CKP theory certain orthogonal polynomials appear. These polynomials are polynomial both in even and odd (in Grassmannian sense) variables.
Keywords
Cite
@article{arxiv.1102.0087,
title = {CKP Hierarchy, Bosonic Tau Function and Bosonization Formulae},
author = {Johan W. van de Leur and Alexander Yu. Orlov and Takahiro Shiota},
journal= {arXiv preprint arXiv:1102.0087},
year = {2012}
}