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arxiv: 1005.1046 · v3 · pith:ANHUVRUYnew · submitted 2010-05-06 · 🧮 math.CA · hep-th· math-ph· math.MP

Y-System and Deformed Thermodynamic Bethe Ansatz

classification 🧮 math.CA hep-thmath-phmath.MP
keywords deformedansatzbethecubicintroduceoscillatorthermodynamicy-system
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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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Cited by 2 Pith papers

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