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High Energy Physics - Theory

arXiv:1105.0948 (hep-th)
[Submitted on 4 May 2011]

Title:Proving AGT conjecture as HS duality: extension to five dimensions

Authors:A.Mironov, A.Morozov, Sh.Shakirov, A.Smirnov
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Abstract:We extend the proof from arXiv:1012.3137, which interprets the AGT relation as the Hubbard-Stratonovich duality relation to the case of 5d gauge theories. This involves an additional q-deformation. Not surprisingly, the extension turns out to be trivial: it is enough to substitute all relevant numbers by q-numbers in all the formulas, Dotsenko-Fateev integrals by the Jackson sums and the Jack polynomials by the MacDonald ones. The problem with extra poles in individual Nekrasov functions continues to exist, therefore, such a proof works only for \beta = 1, i.e. for q=t in MacDonald's notation. For \beta\ne 1 the conformal blocks are related in this way to a non-Nekrasov decomposition of the LMNS partition function into a double sum over Young diagrams.
Comments: 18 pages
Subjects: High Energy Physics - Theory (hep-th)
Report number: FIAN/TD-06/11; ITEP/TH-09/11
Cite as: arXiv:1105.0948 [hep-th]
  (or arXiv:1105.0948v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1105.0948
Journal reference: Nuclear Physics; Section B 855 (2012), pp. 128-151
Related DOI: https://doi.org/10.1016/j.nuclphysb.2011.09.021

Submission history

From: Andrei Mironov [view email]
[v1] Wed, 4 May 2011 21:26:41 UTC (54 KB)
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