Conformal and Quasiconformal Realizations of Exceptional Lie Groups

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dc.creatorGunaydin, M.
dc.creatorKoepsell, K.
dc.creatorNicolai, H.
dc.date2000-08-07
dc.date2001-02-26
dc.date.accessioned2026-07-07T12:03:36Z
dc.date.available2026-07-07T12:03:36Z
dc.descriptionWe present a nonlinear realization of E_8 on a space of 57 dimensions, which is quasiconformal in the sense that it leaves invariant a suitably defined ``light cone'' in 57 dimensions. This realization, which is related to the Freudenthal triple system associated with the unique exceptional Jordan algebra over the split octonions, contains previous conformal realizations of the lower rank exceptional Lie groups on generalized space times, and in particular a conformal realization of E_7 on a 27 dimensional vector space which we exhibit explicitly. Possible applications of our results to supergravity and M-Theory are briefly mentioned.
dc.description21 pages, 1 figure. Revised version. Connection between SU(8) and SL(8,R) bases clarified; formulas corrected; references added
dc.identifierhttps://arxiv.org/abs/hep-th/0008063
dc.identifierhttp://arxiv.org/abs/hep-th/0008063
dc.identifierCommun.Math.Phys.221:57-76,2001
dc.identifierdoi:10.1007/PL00005574
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207840
dc.subjectHigh Energy Physics - Theory
dc.titleConformal and Quasiconformal Realizations of Exceptional Lie Groups
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