{ "id": "1010.6074", "version": "v1", "published": "2010-10-28T20:00:53.000Z", "updated": "2010-10-28T20:00:53.000Z", "title": "Computing 1/N^2 corrections in AdS/CFT", "authors": [ "James T. Liu", "Ruben Minasian" ], "comment": "24 pages, LaTeX", "categories": [ "hep-th" ], "abstract": "Stringy corrections in AdS/CFT generally fall into the category of either \\alpha' effects or string loop effects, corresponding to 1/\\lambda and 1/N corrections, respectively, in the dual field theory. While \\alpha'^3R^4 corrections have been well studied, at least in the context of N=4 super-Yang-Mills, less is known about the 1/N^2 corrections arising from closed string loops. In this paper, we consider AdS_5 x SE_5 compactifications of the IIB string, and compute the closed string loop correction to the anomaly coefficients a and c in the dual field theory. For T^{1,1} reductions, we find the string loop correction to yield c-a=1/24, which is the contribution to c-a of a free N=2 hypermultiplet. We also comment on reductions to lower dimensional AdS theories as well as the nature of T-duality with higher derivatives.", "revisions": [ { "version": "v1", "updated": "2010-10-28T20:00:53.000Z" } ], "analyses": { "keywords": [ "dual field theory", "string loop correction", "closed string loop", "lower dimensional ads theories", "higher derivatives" ], "note": { "typesetting": "LaTeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "inspire": 875038, "adsabs": "2010arXiv1010.6074L" } } }