{ "id": "0805.3574", "version": "v2", "published": "2008-05-23T10:39:08.000Z", "updated": "2008-08-06T02:54:26.000Z", "title": "Two loop Kahler potential in beta-deformed N=4 SYM theory", "authors": [ "Simon J. Tyler" ], "comment": "24 pages, 1 figure, version published in JHEP", "journal": "JHEP0807:061,2008", "doi": "10.1088/1126-6708/2008/07/061", "categories": [ "hep-th" ], "abstract": "In N=2 superconformal field theories the Kahler potential is known to be tree level exact. The beta-deformation of N=4 SU(N) SYM reduces the amount of supersymmetry to N=1, allowing for non-trivial, superconformal loop corrections to the Kahler potential. We analyse the two-loop corrections on the Coulomb branch for a complex deformation. For an arbitrary chiral field in the Cartan subalgebra we reduce the problem of computing the two-loop Kahler potential to that of diagonalising the mass matrix, we then present the result in a manifestly superconformal form. The mass matrix diagonalisation is performed for the case of the chiral background that induces the breaking pattern SU(N) -> SU(N-2)*U(1)^2. Then, for the gauge group SU(3), the Kahler potential is explicitly computed to the two-loop order.", "revisions": [ { "version": "v2", "updated": "2008-08-06T02:54:26.000Z" } ], "analyses": { "keywords": [ "sym theory", "two-loop kahler potential", "gauge group su", "superconformal loop corrections", "mass matrix diagonalisation" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "Journal of High Energy Physics", "year": 2008, "month": "Jul", "volume": 2008, "number": 7, "pages": "061" }, "note": { "typesetting": "TeX", "pages": 24, "language": "en", "license": "arXiv", "status": "editable", "inspire": 786482, "adsabs": "2008JHEP...07..061T" } } }