English

Opers and TBA

High Energy Physics - Theory 2014-03-26 v1

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 Schr\"odinger equation with a rational potential.

Keywords

Cite

@article{arxiv.1403.6137,
  title  = {Opers and TBA},
  author = {Davide Gaiotto},
  journal= {arXiv preprint arXiv:1403.6137},
  year   = {2014}
}

Comments

20 pages

R2 v1 2026-06-22T03:33:23.397Z