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# Bethe Ansatz and the Spectral Theory of affine Lie algebra-valued connections

GFM seminar
IIIUL, B3-01
2015-02-26 14:30 .. 15:30
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by Davide Masoero (GFMUL)

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