{ "id": "hep-th/9907188", "version": "v2", "published": "1999-07-26T14:40:21.000Z", "updated": "1999-07-29T17:55:53.000Z", "title": "The Free Energy of N=4 Super-Yang-Mills and the AdS/CFT Correspondence", "authors": [ "C. P. Burgess", "N. R. Constable", "R. C. Myers" ], "comment": "26 pages.Minor corrections to eqs.(19),(21). Results and conclusions unchanged. References added", "journal": "JHEP 9908:017,1999", "doi": "10.1088/1126-6708/1999/08/017", "categories": [ "hep-th" ], "abstract": "We compute the high-temperature limit of the free energy for four-dimensional N=4 supersymmetric SU(N_c) Yang-Mills theory. At weak coupling we do so for a general ultrastatic background spacetime, and in the presence of slowly-varying background gauge fields. Using Maldacena's conjectured duality, we calculate the strong-coupling large-N_c expression for the special case that the three-space has constant curvature. We compare the two results paying particular attention to curvature corrections to the leading order expressions.", "revisions": [ { "version": "v2", "updated": "1999-07-29T17:55:53.000Z" } ], "analyses": { "keywords": [ "free energy", "ads/cft correspondence", "super-yang-mills", "general ultrastatic background spacetime", "slowly-varying background gauge fields" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "J. High Energ. Phys." }, "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "inspire": 504508 } } }