Projective Coordinates and Projective Space Limit

dc.creatorHatsuda, Machiko
dc.creatorKamimura, Kiyoshi
dc.date2007-07-03
dc.date2008-02-08
dc.date.accessioned2026-07-07T11:41:24Z
dc.date.available2026-07-07T11:41:24Z
dc.descriptionThe "projective lightcone limit" has been proposed as an alternative holographic dual of an AdS space. It is a new type of group contraction for a coset G/H preserving the isometry group G but changing H. In contrast to the usual group contraction, which changes G preserving the spacetime dimension, it reduces the dimensions of the spacetime on which G is realized. The obtained space is a projective space on which the isometry is realized as a linear fractional transformation. We generalize and apply this limiting procedure to the "Hopf reduction" and obtain (n-1)-dimensional complex projective space from (2n-1)-dimensional sphere preserving SU(n) symmetry.
dc.description16 pages, v2: modified the section 2.1 clarifying the difference from IW contraction, added notes & references, version to appear in Nuclear Physics B
dc.identifierhttps://arxiv.org/abs/0707.0326
dc.identifierhttp://arxiv.org/abs/0707.0326
dc.identifierNucl.Phys.B798:310-322,2008
dc.identifierdoi:10.1016/j.nuclphysb.2008.02.004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200522
dc.subjectHigh Energy Physics - Theory
dc.titleProjective Coordinates and Projective Space Limit
dc.typetext

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