A natural basis for spinor and vector fields on the noncommutative sphere

Gratus, Jonathan (1998) A natural basis for spinor and vector fields on the noncommutative sphere. Journal of Mathematical Physics, 39 (4). pp. 2306-2324. ISSN 0022-2488

Full text not available from this repository.

Abstract

The product of two Heisenberg-Weil algebras contains the Jordan-Schwinger representation of su(2). This algebra is quotiented by the square-root of the Casimir to produce a nonassociative algebra denoted by Psi. This algebra may be viewed as the right-module over one of its associative subalgebras which corresponds to the algebra of scalar fields on the noncommutative sphere. It is now possible to interpret other subspaces as the space of spinor or vector fields on the noncommutative sphere. A natural basis of Psi is given which may be interpreted as the deformed entries in the rotation matrices of SU(2).

Item Type: Journal Article
Journal or Publication Title: Journal of Mathematical Physics
Uncontrolled Keywords: /dk/atira/pure/subjectarea/asjc/3100/3109
Subjects:
Departments: Faculty of Science and Technology > Physics
ID Code: 64126
Deposited By: ep_importer_pure
Deposited On: 15 May 2013 08:58
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 08:27
URI: https://eprints.lancs.ac.uk/id/eprint/64126

Actions (login required)

View Item View Item