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arXiv · 1512.06701

On elementary proof of AGT relations from six dimensions

A. Mironov·A. Morozov·Y. Zenkevich
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Abstract

The actual definition of the Nekrasov functions participating in the AGT relations implies a peculiar choice of contours in the LMNS and Dotsenko-Fateev integrals. Once made explicit and applied to the original triply-deformed (6-dimensional) version of these integrals, this approach reduces the AGT relations to symmetry in q_{1,2,3}, which is just an elementary identity for an appropriate choice of the integration contour (which is, however, a little non-traditional). We illustrate this idea with the simplest example of N=(1,1) U(1) SYM in six dimensions, however, all other cases can be evidently considered in a completely similar way.

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A. Mironov, A. Morozov, Y. Zenkevich. 2015-12-23. On elementary proof of AGT relations from six dimensions. https://doi.org/10.1016/j.physletb.2016.03.006

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