Proving AGT conjecture as HS duality: Extension to five dimensions |
| |
Authors: | A Mironov A Morozov A Smirnov |
| |
Institution: | a Lebedev Physics Institute, Moscow, Russia b ITEP, Moscow, Russia c Department of Mathematics, University of California, Berkeley, CA, USA d MIPT, Dolgoprudny, Russia |
| |
Abstract: | We extend the proof from Mironov et al. (2011) 25], 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 straightforward: 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 β=1, i.e. for q=t in MacDonald?s notation. For β≠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. |
| |
Keywords: | AGT conjecture (5d) _method=retrieve& _eid=1-s2 0-S0550321311005438& _mathId=si4 gif& _pii=S0550321311005438& _issn=05503213& _acct=C000051805& _version=1& _userid=1154080& md5=acf0eb13c922c8015f7707efe6050191')" style="cursor:pointer N=2 SUSY gauge theory" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">N=2 SUSY gauge theory (q-)Virasoro algebra Seiberg-Witten theory Matrix models |
本文献已被 ScienceDirect 等数据库收录! |
|