A universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces

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dc.creatorDolan, Brian P.
dc.creatorHuet, Idrish
dc.creatorMurray, Sean
dc.creatorO'Connor, Denjoe
dc.date2007-11-08
dc.date2008-09-15
dc.date.accessioned2026-07-07T11:13:01Z
dc.date.available2026-07-07T11:13:01Z
dc.descriptionWe present a universal Dirac operator for noncommutative spin and spin^c bundles over fuzzy complex projective spaces. We give an explicit construction of these bundles, which are described in terms of finite dimensional matrices, calculate the spectrum and explicitly exhibit the Dirac eigenspinors. To our knowledge the spin^c spectrum for CP^n with n>=3 is new.
dc.description25 pages, typeset in LaTeX, uses youngtab package, v3 updates to published version and includes a minor correction in the conclusions
dc.identifierhttps://arxiv.org/abs/0711.1347
dc.identifierhttp://arxiv.org/abs/0711.1347
dc.identifierJHEP0803:029,2008
dc.identifierdoi:10.1088/1126-6708/2008/03/029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191577
dc.subjectHigh Energy Physics - Theory
dc.titleA universal Dirac operator and noncommutative spin bundles over fuzzy complex projective spaces
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