Counting minimal form factors of the restricted sine-Gordon model. (English) Zbl 1084.81066

Jimbo, M.; Miwa, T.; Takeyama, Y.

Mosc. Math. J. 4, No. 4, 787-846 (2004).

The authors study 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 plynomials which enter the integral representation for form factors. A formula for the truncated character of the total space of local fields in terms of the Virasoro characters is also obtained.

Reviewer: T. C. Mohan (Dehra Dun)

MSC:

81T40	Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81R50	Quantum groups and related algebraic methods applied to problems in quantum theory
81R12	Groups and algebras in quantum theory and relations with integrable systems

Keywords:

form factor; restricted sine-Gordon model