The Isospectral Dirac Operator on the 4-dimensional Orthogonal Quantum Sphere

Simple item page
dc.creatorD'Andrea, Francesco
dc.creatorDabrowski, Ludwik
dc.creatorLandi, Giovanni
dc.date2006-11-04
dc.date2008-02-13
dc.date.accessioned2026-07-07T09:23:38Z
dc.date.available2026-07-07T09:23:38Z
dc.descriptionEquivariance under the action of Uq(so(5)) is used to compute the left regular and (chiral) spinorial representations of the algebra of the orthogonal quantum 4-sphere S^4_q. These representations are the constituents of a spectral triple on this sphere with a Dirac operator which is isospectral to the canonical one on the round undeformed four-sphere and which gives metric dimension four for the noncommutative geometry. Non-triviality of the geometry is proved by pairing the associated Fredholm module with an `instanton' projection. We also introduce a real structure which satisfies all required properties modulo smoothing operators.
dc.description40 pages, no figures, Latex. v2: Title changed. Sect. 9 on real structure completely rewritten and results strengthened. Additional minor changes throughout the paper
dc.identifierhttps://arxiv.org/abs/math/0611100
dc.identifierhttp://arxiv.org/abs/math/0611100
dc.identifierCommun. Math. Phys. 279 (2008) 77--116
dc.identifierdoi:10.1007/s00220-008-0420-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155803
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subject58B32; 58B34
dc.titleThe Isospectral Dirac Operator on the 4-dimensional Orthogonal Quantum Sphere
dc.typetext

Files

Collections

arXiv