Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz

Details Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz Anyonic Interpretation of Virasoro Characters and the Thermodynamic Bethe Ansatz

1997-11-17

arxiv.org/abs/hep-th/9711113v2

Nucl.Phys. B521 (1998) 573-591

Physics

High Energy Physics

High Energy Physics - Theory

20 pages (Latex), minor typos corrections and three references added

Scientific paper

10.1016/S0550-3213(98)00222-3

Employing factorized versions of characters as products of quantum dilogarithms corresponding to irreducible representations of the Virasoro algebra, we obtain character formulae which admit an anyonic quasi-particle interpretation in the context of minimal models in conformal field theories. We propose anyonic thermodynamic Bethe ansatz equations, together with their corresponding equation for the Virasoro central charge, on the base of an analysis of the classical limit for the characters and the requirement that the scattering matrices are asymptotically phaseless.

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