{ "id": "1107.5035", "version": "v2", "published": "2011-07-25T19:59:57.000Z", "updated": "2011-07-29T12:27:07.000Z", "title": "The free energy of N=2 supersymmetric AdS_4 solutions of M-theory", "authors": [ "Maxime Gabella", "Dario Martelli", "Achilleas Passias", "James Sparks" ], "comment": "17 pages; v2: typos fixed and references added", "journal": "JHEP 10 (2011) 039", "categories": [ "hep-th" ], "abstract": "We show that general N=2 supersymmetric AdS_4 solutions of M-theory with non-zero M2-brane charge admit a canonical contact structure. The free energy of the dual superconformal field theory on S^3 and the scaling dimensions of operators dual to supersymmetric wrapped M5-branes are expressed via AdS/CFT in terms of contact volumes. In particular, this leads to topological and localization formulae for the coefficient of N^{3/2} in the free energy of such solutions.", "revisions": [ { "version": "v2", "updated": "2011-07-29T12:27:07.000Z" } ], "analyses": { "keywords": [ "free energy", "supersymmetric", "dual superconformal field theory", "non-zero m2-brane charge admit", "contact volumes" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Journal of High Energy Physics", "doi": "10.1007/JHEP10(2011)039", "year": 2011, "month": "Oct", "volume": 2011, "pages": 39 }, "note": { "typesetting": "TeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "inspire": 920212, "adsabs": "2011JHEP...10..039G" } } }