Bilinear Equations on Painlevé τ Functions from CFT
نویسندگان
چکیده
منابع مشابه
Quantum Deformations of τ-functions, Bilinear Identities and Representation Theory1
This paper is a brief review of recent results on the concept of “generalized τ -function”, defined as a generating function of all the matrix elements in a given highest-weight representation of a universal enveloping algebra G. Despite the differences from Talk presented at the Workshop on Symmetries and Integrability of Difference Equations, Montreal, May, 1994 E-mail address: [email protected]...
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Application of the τ-function theory of Painlevé equations to random matrices: Okamoto has obtained a sequence of τ-functions for the PVI system expressed as a double Wron-skian determinant based on a solution of the Gauss hypergeometric equation. Starting with integral solutions of the Gauss hypergeometric equation, we show that the determinant can be re-expressed as multi-dimensional integral...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2015
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-015-2427-4