N=2 gauge theories on toric singularities, blow-up formulae and W-algebrae

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dc.contributor.areaPhysicsen_US
dc.contributor.areaMathematicsen_US
dc.contributor.authorBonelli, Giulio
dc.contributor.authorMaruyoshi, Kazunobu
dc.contributor.authorTanzini, Alessandro
dc.contributor.authorYagi, Futoshi
dc.contributor.departmentElementary Particle Theoryen_US
dc.contributor.departmentMathematical Physicsen_US
dc.date.accessioned2012-08-13T11:51:53Z
dc.date.available2012-08-13T11:51:53Z
dc.date.issued2012-08-03
dc.description31 pages, 1 figureen_US
dc.description.abstractWe compute the Nekrasov partition function of gauge theories on the (resolved) toric singularities C^2/\Gamma in terms of blow-up formulae. We discuss the expansion of the partition function in the \epsilon_1,\epsilon_2 \to 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 W_N-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.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/6114
dc.language.isoenen_US
dc.miur.area-1en_US
dc.publisherSISSAen_US
dc.relation.ispartofseriesarXiv:1208.0790v1;
dc.relation.ispartofseriesSISSA;23/2012/EP-FM
dc.titleN=2 gauge theories on toric singularities, blow-up formulae and W-algebraeen_US
dc.typePreprinten_US
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