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On elementary proof of AGT relations from six dimensions

High Energy Physics - Theory 2016-03-21 v2

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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Cite

@article{arxiv.1512.06701,
  title  = {On elementary proof of AGT relations from six dimensions},
  author = {A. Mironov and A. Morozov and Y. Zenkevich},
  journal= {arXiv preprint arXiv:1512.06701},
  year   = {2016}
}

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5 pages