Quantization of Flag Manifolds and their Supersymmetric Extensions

dc.creatorMurray, Sean
dc.creatorSaemann, Christian
dc.date2006-11-29
dc.date2008-05-28
dc.date.accessioned2026-07-07T11:43:59Z
dc.date.available2026-07-07T11:43:59Z
dc.descriptionWe first review the description of flag manifolds in terms of Pluecker coordinates and coherent states. Using this description, we construct fuzzy versions of the algebra of functions on these spaces in both operatorial and star product language. Our main focus is here on flag manifolds appearing in the double fibration underlying the most common twistor correspondences. After extending the Pluecker description to certain supersymmetric cases, we also obtain the appropriate deformed algebra of functions on a number of fuzzy flag supermanifolds. In particular, fuzzy versions of Calabi-Yau supermanifolds are found.
dc.description1+53 pages, 6 figures, version published in ATMP
dc.identifierhttps://arxiv.org/abs/hep-th/0611328
dc.identifierhttp://arxiv.org/abs/hep-th/0611328
dc.identifierAdv.Theor.Math.Phys.12:641-710,2008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201441
dc.subjectHigh Energy Physics - Theory
dc.titleQuantization of Flag Manifolds and their Supersymmetric Extensions
dc.typetext

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