The Matrix model and the non-commutative geometry of the supermembrane
| dc.contributor.author | Floratos, E. G. | en |
| dc.contributor.author | Leontaris, G. K. | en |
| dc.date.accessioned | 2015-11-24T18:33:09Z | |
| dc.date.available | 2015-11-24T18:33:09Z | |
| dc.identifier.issn | 0370-2693 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/16694 | |
| dc.rights | Default Licence | - |
| dc.subject | quantum-mechanics | en |
| dc.subject | gauge-theories | en |
| dc.subject | p-branes | en |
| dc.subject | membranes | en |
| dc.subject | equations | en |
| dc.subject | strings | en |
| dc.subject | duality | en |
| dc.subject | fields | en |
| dc.subject | states | en |
| dc.title | The Matrix model and the non-commutative geometry of the supermembrane | en |
| heal.abstract | This 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.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://000083218800005 | - |
| heal.identifier.secondary | http://ac.els-cdn.com/S0370269399010369/1-s2.0-S0370269399010369-main.pdf?_tid=4a16067dfb26932235030ad755f1c0bb&acdnat=1334223986_05eb6744ebadd746c520de308ee181bb | - |
| heal.journalName | Physics Letters B | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 1999 | - |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Επιστημών και Τεχνολογιών. Τμήμα Βιολογικών Εφαρμογών και Τεχνολογιών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
Αρχεία
Πρωτότυπος φάκελος/πακέτο
1 - 1 of 1
Φόρτωση...
- Ονομα:
- Floratos-1999-The Matrix model and.pdf
- Μέγεθος:
- 76.11 KB
- Μορφότυπο:
- Adobe Portable Document Format
Φάκελος/Πακέτο αδειών
1 - 1 of 1
Φόρτωση...
- Ονομα:
- license.txt
- Μέγεθος:
- 1.74 KB
- Μορφότυπο:
- Item-specific license agreed upon to submission
- Περιγραφή: