pith. machine review for the scientific record. sign in

arxiv: 1005.4469 · v2 · submitted 2010-05-25 · ✦ hep-th · math.AG· math.RT

Recognition: unknown

Affine SL(2) conformal blocks from 4d gauge theories

Luis F. Alday , Yuji Tachikawa
Authors on Pith no claims yet
classification ✦ hep-th math.AGmath.RT
keywords blocksconformalgaugetheoriesaffineinstantonorderresults
0
0 comments X
read the original abstract

We study Nekrasov's instanton partition function of four-dimensional N=2 gauge theories in the presence of surface operators. This can be computed order by order in the instanton expansion by using results available in the mathematical literature. Focusing in the case of SU(2) quiver gauge theories, we find that the results agree with a modified version of the conformal blocks of affine SL(2) Lie algebra. These conformal blocks provide, in the critical limit, the eigenfunctions of the corresponding quantized Hitchin Hamiltonians.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On non-relativistic integrable models and 4d SCFTs

    hep-th 2026-04 unverdicted novelty 6.0

    Generalized Schur indices of N=2 class S theories are expressed using eigenfunctions of non-relativistic elliptic Calogero-Moser models, with extensions claimed for N=1 SCFTs via limits of models like Inozemtsev.