Bethe Ansatz and the Spectral Theory of affine Lie algebra-valued connections I. The simply-laced case

Abstract

We study the ODE/IM correspondence for ODE associated to $\hat{\mathfrak{g}}$-valued connections, for a simply-laced Lie algebra $\mathfrak{g}$. We prove that subdominant solutions to the ODE defined in different fundamental representations satisfy a set of quadratic equations called $\Psi$-system. This allows us to show that the generalized spectral determinants satisfy the Bethe Ansatz equations.

27 pages, final and published version. Minor change in the title

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• Y-System and Deformed Thermodynamic Bethe Ansatz
• Elementary functions in Thermodynamic Bethe Ansatz
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Cited by in corpus (36)

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