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Y-System and Deformed Thermodynamic Bethe Ansatz

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Abstract

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 three-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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  1. SISSA, via Bonomea 265, 34154, Trieste, Italy

    Davide Masoero

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  1. Davide Masoero
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Correspondence to Davide Masoero.

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Dedicated to Boris Dubrovin in occasion of his 60th birthday

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Masoero, D. Y-System and Deformed Thermodynamic Bethe Ansatz. Lett Math Phys 94, 151–164 (2010). https://doi.org/10.1007/s11005-010-0425-1

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  • DOI: https://doi.org/10.1007/s11005-010-0425-1

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