Hedgehog black holes and the Polyakov loop at strong coupling
| dc.creator | Headrick, Matthew | |
| dc.date | 2007-12-26 | |
| dc.date | 2008-05-20 | |
| dc.date.accessioned | 2026-07-07T11:39:41Z | |
| dc.date.available | 2026-07-07T11:39:41Z | |
| dc.description | In N=4 super-Yang-Mills theory at large N, large λ, and finite temperature, the value of the Wilson-Maldacena loop wrapping the Euclidean time circle (the Polyakov-Maldacena loop, or PML) is computed by the area of a certain minimal surface in the dual supergravity background. This prescription can be used to calculate the free energy as a function of the PML (averaged over the spatial coordinates), by introducing into the bulk action a Lagrange multiplier term that fixes the (average) area of the appropriate minimal surface. This term, which can also be viewed as a chemical potential for the PML, contributes to the bulk stress tensor like a string stretching from the horizon to the boundary (smeared over the angular directions). We find the corresponding "hedgehog" black hole solutions numerically, within an SO(6)-preserving ansatz, and derive part of the free energy diagram for the PML. As a warm-up problem, we also find exact solutions for hedgehog black holes in pure gravity, and derive the free energy and phase diagrams for that system. | |
| dc.description | 25 pages, 11 figures; v2: minor clarifications, published version | |
| dc.identifier | https://arxiv.org/abs/0712.4155 | |
| dc.identifier | http://arxiv.org/abs/0712.4155 | |
| dc.identifier | Phys.Rev.D77:105017,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.77.105017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/200010 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Hedgehog black holes and the Polyakov loop at strong coupling | |
| dc.type | text |