The exceptional Jordan algebra and the matrix string

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dc.creatorSmolin, Lee
dc.date2001-04-05
dc.date.accessioned2026-07-07T04:11:31Z
dc.date.available2026-07-07T04:11:31Z
dc.descriptionA new matrix model is described, based on the exceptional Jordan algebra. The action is cubic, as in matrix Chern-Simons theory. We describe a compactification that, we argue, reproduces, at the one loop level, an octonionic compactification of the matrix string theory in which SO(8) is broken to G2. There are 27 matrix degrees of freedom, which under Spin(8) transform as the vector, spinor and conjugate spinor, plus three singlets, which represent the two longitudinal coordinates plus an eleventh coordinate. Supersymmetry appears to be related to triality of the representations of Spin(8).
dc.descriptionLaTex 15 pages, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0104050
dc.identifierhttp://arxiv.org/abs/hep-th/0104050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/50618
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectQuantum Algebra
dc.titleThe exceptional Jordan algebra and the matrix string
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