Free Fermions and Thermal AdS/CFT
| dc.creator | Dutta, Suvankar | |
| dc.creator | Gopakumar, Rajesh | |
| dc.date | 2007-11-01 | |
| dc.date | 2007-11-10 | |
| dc.date.accessioned | 2026-07-07T11:12:51Z | |
| dc.date.available | 2026-07-07T11:12:51Z | |
| dc.description | The dynamics of finite temperature U(N) gauge theories on $S^3$ can be described, at weak coupling, by an effective unitary matrix model. Here we present an exact solution to these models, for any value of $N$, in terms of a sum over representations. Taking the large $N$ limit of this solution provides a new perspective on the deconfinement transition which is supposed to be dual to the Hawking-Page transition. The large $N$ phase transition manifests itself here in a manner similar to the Douglas-Kazakov phase transition in 2d Yang-Mills theory. We carry out a complete analysis of the saddle representation in the simplest case involving only the order parameter ${\rm Tr}U$. We find that the saddle points corresponding to thermal $AdS$, the small black hole and the large black hole can all be described in terms of free fermions. They all admit a simple phase space description {\it a la} the BPS geometries of Lin, Lunin and Maldacena. | |
| dc.description | (0+34) pages and 9 figures, v2 references added | |
| dc.identifier | https://arxiv.org/abs/0711.0133 | |
| dc.identifier | http://arxiv.org/abs/0711.0133 | |
| dc.identifier | JHEP0803:011,2008 | |
| dc.identifier | doi:10.1088/1126-6708/2008/03/011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/191517 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Free Fermions and Thermal AdS/CFT | |
| dc.type | text |