2004
COUNTING MINIMAL FORM FACTORS OF THE RESTRICTED SINE-GORDON MODEL
MOSCOW MATHEMATICAL JOURNAL
- ,
- ,
- Volume
- 4
- Number
- 4
- First page
- 787
- Last page
- 846
- Language
- English
- Publishing type
- Research paper (scientific journal)
- Publisher
- INDEPENDENT UNIV MOSCOW
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((sl) over cap (2)) with q = root - 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.
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- ID information
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- ISSN : 1609-3321
- Web of Science ID : WOS:000208595000002