{ "id": "hep-th/9804010", "version": "v3", "published": "1998-04-01T21:18:51.000Z", "updated": "1998-05-10T21:01:29.000Z", "title": "Nonholomorphic N=2 terms in N=4 SYM: 1-Loop Calculation in N=2 superspace", "authors": [ "F. Gonzalez-Rey", "M. Rocek" ], "comment": "12 pages, LaTex, includes 4 .eps figures, sign convention in path integral definition changed, sign of nonholomorphic potential changed", "journal": "Phys.Lett. B434 (1998) 303-311", "doi": "10.1016/S0370-2693(98)00731-X", "categories": [ "hep-th" ], "abstract": "The effective action of N=2 gauge multiplets in general includes higher-dimension UV finite nonholomorphic corrections integrated with the full N=2 superspace measure. By adding a hypermultiplet in the adjoint representation we study the effective action of N=4 SYM. The nonanomalous SU(4) R-symmetry of the classical N=4 theory must be also present in the on-shell effective action, and therefore we expect to find similar nonholomorphic terms for each of the scalars in the hypermultiplet. The N=2 path integral quantization formalism developed in projective superspace allows us to compute these hypermultiplet nonholomorphic terms directly in N=2 superspace. The corresponding gauge multiplet expression can be successfully compared with the result inferred from a N=1 calculation in the abelian subsector.", "revisions": [ { "version": "v3", "updated": "1998-05-10T21:01:29.000Z" } ], "analyses": { "subjects": [ "11.30.pb" ], "keywords": [ "superspace", "integral quantization formalism", "higher-dimension uv finite nonholomorphic corrections", "effective action" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "inspire": 468821 } } }