Fuzzy CP(n|m) as a quantum superspace
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
The `Chern-Simons Quantum Mechanics' of a particle on CP(n|m) is shown to yield the fuzzy descriptions of these superspaces, for which we construct the non-(anti)commuting position operators. For a particle on the supersphere CP(1|1) = SU(2|1)/U(1|1), the particle's wave-function at fuzziness level 2s is shown to be a degenerate irrep of SU(2|1) describing a supermultiplet of SU(2) spins (s-1\2, s).
19 pp. Contribution to "Symmetries in Gravity and Field Theory", conference for Jose-Adolfo de Azcarraga's 60th birthday, June 2003, Salamanca, Spain. Minor corrections made and references included. Notation clarified, and additional reference in v.3
19 pp. Contribution to "Symmetries in Gravity and Field Theory", conference for Jose-Adolfo de Azcarraga's 60th birthday, June 2003, Salamanca, Spain. Minor corrections made and references included. Notation clarified, and additional reference in v.3