Ontology type: schema:ScholarlyArticle Open Access: True
2013-01-02
AUTHORSGiulio Bonelli, Kazunobu Maruyoshi, Alessandro Tanzini, Futoshi Yagi
ABSTRACTWe compute the Nekrasov partition function of gauge theories on the (resolved) toric singularities \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ {{{{{\mathbb{C}}^2}}} \left/ {\varGamma } \right.} $\end{document} in terms of blow-up formulae. We discuss the expansion of the partition function in the ϵ1, ϵ2 → 0 limit along with its modular properties and how to derive them from the M-theory perspective. On the two-dimensional conformal field theory side, our results can be interpreted in terms of representations of the direct sum of Heisenberg plus WN-algebrae with suitable central charges, which can be computed from the fan of the resolved toric variety. We provide a check of this correspondence by computing the central charge of the two-dimensional theory from the anomaly polynomial of M5-brane theory. Upon using the AGT correspondence our results provide a candidate for the conformal blocks and three-point functions of a class of the two-dimensional CFTs which includes parafermionic theories. More... »
PAGES14
http://scigraph.springernature.com/pub.10.1007/jhep01(2013)014
DOIhttp://dx.doi.org/10.1007/jhep01(2013)014
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