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

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

2010-05-25

arxiv.org/abs/1005.4469v2

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 3 figures; v2: typos corrected, references added

Scientific paper

10.1007/s11005-010-0422-4

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.

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