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dc.contributor.authorFloratos, E. G.en
dc.contributor.authorLeontaris, G. K.en
dc.date.accessioned2015-11-24T18:33:09Z-
dc.date.available2015-11-24T18:33:09Z-
dc.identifier.issn0370-2693-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/16694-
dc.rightsDefault Licence-
dc.subjectquantum-mechanicsen
dc.subjectgauge-theoriesen
dc.subjectp-branesen
dc.subjectmembranesen
dc.subjectequationsen
dc.subjectstringsen
dc.subjectdualityen
dc.subjectfieldsen
dc.subjectstatesen
dc.titleThe Matrix model and the non-commutative geometry of the supermembraneen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.secondary<Go to ISI>://000083218800005-
heal.identifier.secondaryhttp://ac.els-cdn.com/S0370269399010369/1-s2.0-S0370269399010369-main.pdf?_tid=4a16067dfb26932235030ad755f1c0bb&acdnat=1334223986_05eb6744ebadd746c520de308ee181bb-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Επιστημών και Τεχνολογιών. Τμήμα Βιολογικών Εφαρμογών και Τεχνολογιώνel
heal.publicationDate1999-
heal.abstractThis is a short note on the relation of the Matrix model with the non-commutative geometry of the 11-dimensional supermembrane. We put forward the idea that M-theory is described by the 't Hooft topological expansion of the Matrix model in the large N-limit where all topologies of membranes appear. This expansion can faithfully be represented by the Moyal Yang-Mills theory of membranes. We discuss this conjecture in the case of finite N, where the non-commutative geometry of the membrane is given be the finite quantum mechanics. The use of the finite dimensional representations of the Heisenberg group reveals the cellular structure of a toroidal supermembrane on which the Matrix model appears as a non-commutatutive Yang-Mills theory. The Moyal star product on the space of functions in the case of rational values of the Planck constant (h) over bar represents exactly this cellular structure. We also discuss the integrability of the instanton sector as well as the topological charge and the corresponding Bogomol'nyi bound. (C) 1999 Published by Elsevier Science B.V. All rights reserved.en
heal.journalNamePhysics Letters Ben
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά)

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