Thermodynamic Bethe Ansatz and Dilogarithm Identities I
Abstract
We consider the (An,A1) Y-system arising in the Thermodynamic Bethe Ansatz. We prove the periodicity of solutions of this Y-system conjectured by Al.B. Zamolodchikov, and the dilogarithm identities conjectured by F. Gliozzi and R. Tateo.
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