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This article is cited in 5 scientific papers (total in 5 papers)
Counting minimal form factors of the restricted sine-Gordon model
M. Jimboa, T. Miwab, Y. Takeyamac a University of Tokyo
b Kyoto University
c University of Tsukuba
Abstract:
We revisit the issue of counting all local fields of the restricted sine-Gordon model, in the case corresponding to a perturbation of minimal unitary conformal field theory. The problem amounts to the study of a quotient of certain space of polynomials which enter the integral representation for form factors. This space may be viewed as a $q$-analog of the space of conformal coinvariants associated with $U_q(\widehat{\mathfrak{sl}}_2)$ with $q=\sqrt{-1}$. We prove that its character is given by the restricted Kostka polynomial multiplied by a simple factor. As a result, we obtain a formula for the truncated character of the total space of local fields in terms of the Virasoro characters.
Key words and phrases:
Form factor, restricted sine-Gordon model.
Received: April 11, 2003
Citation:
M. Jimbo, T. Miwa, Y. Takeyama, “Counting minimal form factors of the restricted sine-Gordon model”, Mosc. Math. J., 4:4 (2004), 787–846
Linking options:
https://www.mathnet.ru/eng/mmj172 https://www.mathnet.ru/eng/mmj/v4/i4/p787
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Abstract page: | 248 | References: | 48 |
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