Black Holes, Instanton Counting on Toric Singularities and q-Deformed Two-Dimensional Yang-Mills Theory

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dc.creatorGriguolo, Luca
dc.creatorSeminara, Domenico
dc.creatorSzabo, Richard J.
dc.creatorTanzini, Alessandro
dc.date2006-10-13
dc.date.accessioned2026-07-07T11:27:59Z
dc.date.available2026-07-07T11:27:59Z
dc.descriptionWe study the relationship between instanton counting in N=4 Yang-Mills theory on a generic four-dimensional toric orbifold and the semi-classical expansion of q-deformed Yang-Mills theory on the blowups of the minimal resolution of the orbifold singularity, with an eye to clarifying the recent proposal of using two-dimensional gauge theories to count microstates of black holes in four dimensions. We describe explicitly the instanton contributions to the counting of D-brane bound states which are captured by the two-dimensional gauge theory. We derive an intimate relationship between the two-dimensional Yang-Mills theory and Chern-Simons theory on generic Lens spaces, and use it to show that the correct instanton counting is only reproduced when the Chern-Simons contributions are treated as non-dynamical boundary conditions in the D4-brane gauge theory. We also use this correspondence to discuss the counting of instantons on higher genus ruled Riemann surfaces.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0610155
dc.identifierhttp://arxiv.org/abs/hep-th/0610155
dc.identifierNucl.Phys.B772:1-24,2007
dc.identifierdoi:10.1016/j.nuclphysb.2007.02.030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196301
dc.subjectHigh Energy Physics - Theory
dc.titleBlack Holes, Instanton Counting on Toric Singularities and q-Deformed Two-Dimensional Yang-Mills Theory
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