Thermodynamic Bethe Ansatz and Dilogarithm Identities I

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, AMSLATEX

Scientific paper

We consider the (A_n,A_1) 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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