{ "id": "hep-th/9405180", "version": "v1", "published": "1994-05-27T12:23:43.000Z", "updated": "1994-05-27T12:23:43.000Z", "title": "Dirac operators on quantum two spheres", "authors": [ "K. Ohta", "H. Suzuki" ], "comment": "11 pages", "journal": "Mod.Phys.Lett. A9 (1994) 2325-2334", "doi": "10.1142/S0217732394002197", "categories": [ "hep-th", "math.QA" ], "abstract": "We investigate the spin $1/2$ fermions on quantum two spheres. It is shown that the wave functions of fermions and a Dirac Operator on quantum two spheres can be constructed in a manifestly covariant way under the quantum group $SU(2)_q$. The concept of total angular momentum and chirality can be expressed by using $q$-analog of Pauli-matrices and appropriate commutation relations.", "revisions": [ { "version": "v1", "updated": "1994-05-27T12:23:43.000Z" } ], "analyses": { "keywords": [ "dirac operator", "total angular momentum", "appropriate commutation relations", "wave functions", "manifestly covariant way" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "inspire": 373693 } } }