{ "id": "hep-th/0502090", "version": "v2", "published": "2005-02-09T08:45:46.000Z", "updated": "2005-04-01T17:03:49.000Z", "title": "Central charge and renormalization in supersymmetric theories with vortices", "authors": [ "K. Shizuya" ], "comment": "9 pages, revtex", "journal": "Phys.Rev. D71 (2005) 065006", "doi": "10.1103/PhysRevD.71.065006", "categories": [ "hep-th" ], "abstract": "Some quantum features of vortices in supersymmetric theories in 1+2 dimensions are studied in a manifestly supersymmetric setting of the superfield formalism. A close examination of the supercurrent that accommodates the central charge and super-Poincare charges in a supermultiplet reveals that there is no genuine quantum anomaly in the supertrace identity and in the supercharge algebra, with the central-charge operator given by the bare Fayet-Iliopoulos term alone. The central charge and the vortex spectrum undergo renormalization on taking the expectation value of the central-charge operator. It is shown that the vortex spectrum is exactly determined at one loop while the spectrum of the elementary excitations receives higher-order corrections.", "revisions": [ { "version": "v2", "updated": "2005-04-01T17:03:49.000Z" } ], "analyses": { "subjects": [ "11.30.Pb", "11.10.Kk" ], "keywords": [ "central charge", "supersymmetric theories", "elementary excitations receives higher-order corrections", "vortex spectrum undergo renormalization", "central-charge operator" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "RevTeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 676498 } } }