Opers and TBA

Davide Gaiotto

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arXiv · 1403.6137

Opers and TBA

Davide Gaiotto

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Abstract

In this note we study the "conformal limit" of the TBA equations which describe the geometry of the moduli space of four-dimensional N=2 gauge theories compactified on a circle. We argue that the resulting conformal TBA equations describe a generalization of the oper submanifold in the space of complex flat connections on a Riemann surface. In particular, the conformal TBA equations for theories in the A1 class produce solutions of the Schrödinger equation with a rational potential.

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Davide Gaiotto. 2014-03-24. Opers and TBA. https://arxiv.org/abs/1403.6137

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