2014

Spherical Hecke algebra in the Nekrasov-Shatashvili limit

Bourgine, Jean-Emile

Understand

The Spherical Hecke central (SHc) algebra has been shown to act on the Nekrasov instanton partition functions of $\mathcal{N}=2$ gauge theories.

  • Its presence accounts for both integrability and AGT correspondence.
  • On the other hand, a specific limit of the Omega background, introduced by Nekrasov and Shatashvili (NS), leads to the appearance of TBA and Bethe like equations.
  • To unify these two points of view, we study the NS limit of the SHc algebra.

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