{ "id": "hep-th/0506203", "version": "v2", "published": "2005-06-23T23:37:56.000Z", "updated": "2005-07-20T04:25:46.000Z", "title": "R-charged AdS_{5} black holes and large N unitary matrix models", "authors": [ "Pallab Basu", "Spenta R. Wadia" ], "comment": "24 pages, 5 figures", "journal": "Phys.Rev. D73 (2006) 045022", "doi": "10.1103/PhysRevD.73.045022", "categories": [ "hep-th", "gr-qc" ], "abstract": "Using the AdS/CFT, we establish a correspondence between the intricate thermal phases of R-charged AdS_{5} blackholes and the R-charge sector of the N=4 gauge theory, in the large N limit. Integrating out all fields in the gauge theory except the thermal Polyakov line, leads to an effective unitary matrix model. In the canonical ensemble, a logarithmic term is generated in the non-zero charge sector of the matrix model. This term is important to discuss various supergravity properties like i) the non-existence of thermal AdS as a solution, ii) the existence of a point of cusp catastrophe in the phase diagram and iii) the matching of saddle points and the critical exponents of supergravity and those of the effective matrix model.", "revisions": [ { "version": "v2", "updated": "2005-07-20T04:25:46.000Z" } ], "analyses": { "subjects": [ "11.15.Pg", "11.10.Wx" ], "keywords": [ "black holes", "gauge theory", "intricate thermal phases", "thermal polyakov line", "effective unitary matrix model" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "inspire": 685927 } } }