{ "id": "hep-th/9711175", "version": "v1", "published": "1997-11-24T10:42:47.000Z", "updated": "1997-11-24T10:42:47.000Z", "title": "Supersymmetry and Bosonization in Three Dimensions", "authors": [ "Jose D. Edelstein", "Carlos Nunez" ], "comment": "12 pages, LaTeX, no figures, to appear in Physics Letters B", "journal": "Phys.Lett. B420 (1998) 300-306", "doi": "10.1016/S0370-2693(97)01521-9", "categories": [ "hep-th" ], "abstract": "We discuss on the possible existence of a supersymmetric invariance in purely fermionic planar systems and its relation to the fermion-boson mapping in three-dimensional quantum field theory. We consider, as a very simple example, the bosonization of free massive fermions and show that, under certain conditions on the masses, this model displays a supersymmetric-like invariance in the low energy regime. We construct the purely fermionic expression for the supercurrent and the non-linear supersymmetry transformation laws. We argue that the supersymmetry is absent in the limit of massless fermions where the bosonized theory is non-local.", "revisions": [ { "version": "v1", "updated": "1997-11-24T10:42:47.000Z" } ], "analyses": { "keywords": [ "bosonization", "three-dimensional quantum field theory", "dimensions", "non-linear supersymmetry transformation laws", "purely fermionic planar systems" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable", "inspire": 451500 } } }