Counting minimal form factors of the restricted sine-Gordon model
| dc.creator | Jimbo, M. | |
| dc.creator | Miwa, T. | |
| dc.creator | Takeyama, Y. | |
| dc.date | 2003-03-26 | |
| dc.date | 2004-01-29 | |
| dc.date.accessioned | 2026-07-07T04:29:55Z | |
| dc.date.available | 2026-07-07T04:29:55Z | |
| dc.description | 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_{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. | |
| dc.description | 58 pages, final version, Proposition 2.8 modified | |
| dc.identifier | https://arxiv.org/abs/math-ph/0303059 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0303059 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57337 | |
| dc.subject | Mathematical Physics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Counting minimal form factors of the restricted sine-Gordon model | |
| dc.type | text |