Y-System and Deformed Thermodynamic Bethe Ansatz

Details Y-System and Deformed Thermodynamic Bethe Ansatz Y-System and Deformed Thermodynamic Bethe Ansatz

2010-05-06

arxiv.org/abs/1005.1046v3

Lett.Math.Phys.94:151-164,2010

Mathematics

Classical Analysis and ODEs

12 pages. Minor corrections in Section 3

Scientific paper

10.1007/s11005-010-0425-1

We introduce a new tool, the Deformed TBA (Deformed Thermodynamic Bethe Ansatz), to analyze the monodromy problem of the cubic oscillator. The Deformed TBA is a system of five coupled nonlinear integral equations, which in a particular case reduces to the Zamolodchikov TBA equation for the 3-state Potts model. Our method generalizes the Dorey-Tateo analysis of the (monomial) cubic oscillator. We introduce a Y-system corresponding to the Deformed TBA and give it an elegant geometric interpretation.

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