Papers

Peer-reviewed
2004

COUNTING MINIMAL FORM FACTORS OF THE RESTRICTED SINE-GORDON MODEL

MOSCOW MATHEMATICAL JOURNAL
  • M. Jimbo
  • ,
  • T. Miwa
  • ,
  • Y. Takeyama

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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https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000208595000002&DestApp=WOS_CPL
ID information
  • ISSN : 1609-3321
  • Web of Science ID : WOS:000208595000002

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