Black Holes, Instanton Counting on Toric Singularities and q-Deformed Two-Dimensional Yang-Mills Theory
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Griguolo, Luca | en_US |
| dc.contributor.author | Seminara, Domenico | en_US |
| dc.contributor.author | Szabo, Richard J. | en_US |
| dc.contributor.author | Tanzini, Alessandro | en_US |
| dc.contributor.department | Mathematical Physics | en_US |
| dc.date.accessioned | 2006-11-09T10:57:36Z | en_US |
| dc.date.accessioned | 2011-09-07T20:27:10Z | |
| dc.date.available | 2006-11-09T10:57:36Z | en_US |
| dc.date.available | 2011-09-07T20:27:10Z | |
| dc.date.issued | 2006-11-09T10:57:36Z | en_US |
| dc.description.abstract | We 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. | en_US |
| dc.format.extent | 340757 bytes | en_US |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.citation | Nucl. Phys. B 772 (2007) 1-24 | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/1888 | en_US |
| dc.language.iso | en_US | en_US |
| dc.relation.ispartofseries | SISSA;61/2006/FM | en_US |
| dc.relation.ispartofseries | arXiv.org;hep-th/0610155 | en_US |
| dc.relation.uri | 10.1016/j.nuclphysb.2007.02.030 | en_US |
| dc.title | Black Holes, Instanton Counting on Toric Singularities and q-Deformed Two-Dimensional Yang-Mills Theory | en_US |
| dc.type | Preprint | en_US |