Fuzzy CP(n|m) as a quantum superspace

dc.creatorIvanov, Evgeny
dc.creatorMezincescu, Luca
dc.creatorTownsend, Paul K.
dc.date2003-11-18
dc.date2004-01-13
dc.date.accessioned2026-07-07T04:16:11Z
dc.date.available2026-07-07T04:16:11Z
dc.descriptionThe `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).
dc.description19 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
dc.identifierhttps://arxiv.org/abs/hep-th/0311159
dc.identifierhttp://arxiv.org/abs/hep-th/0311159
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52249
dc.subjectHigh Energy Physics - Theory
dc.titleFuzzy CP(n|m) as a quantum superspace
dc.typetext

Files

Collections