{ "id": "0901.0644", "version": "v2", "published": "2009-01-06T13:16:12.000Z", "updated": "2009-04-13T05:40:21.000Z", "title": "Irreducible SU(3) Schwinger Bosons", "authors": [ "Ramesh Anishetty", "Manu Mathur", "Indrakshi Raychowdhury" ], "comment": "To appear in Journal of Mathematical Physics (vol 50, issue 5), minor typos corrected, 14 pages, revtex", "journal": "J.Math.Phys.50:053503,2009", "doi": "10.1063/1.3122666", "categories": [ "math-ph", "hep-lat", "hep-th", "math.MP", "nucl-th" ], "abstract": "We develop simple computational techniques for constructing all possible SU(3) representations in terms of irreducible SU(3) Schwinger bosons. We show that these irreducible Schwinger oscillators make SU(3) representation theory as simple as SU(2). The new Schwinger oscillators satisfy certain Sp(2,R) constraints and solve the multiplicity problem as well. These SU(3) techniques can be generalized to SU(N).", "revisions": [ { "version": "v2", "updated": "2009-04-13T05:40:21.000Z" } ], "analyses": { "subjects": [ "05.30.Jp", "02.20.Qs", "02.10.Ud", "02.20.Sv" ], "keywords": [ "schwinger bosons", "irreducible su", "simple computational techniques", "schwinger oscillators satisfy", "multiplicity problem" ], "tags": [ "journal article" ], "publication": { "publisher": "AIP", "journal": "Journal of Mathematical Physics", "year": 2009, "month": "May", "volume": 50, "number": 5, "pages": 3503 }, "note": { "typesetting": "RevTeX", "pages": 14, "language": "en", "license": "arXiv", "status": "editable", "inspire": 810396, "adsabs": "2009JMP....50e3503A" } } }