Simple field theoretical models on noncommutative manifolds

We review recent progress in formulating two-dimensional models over noncommutative manifolds where the space-time coordinates enter in the formalism as non-commuting matrices. We describe the Fuzzy sphere and a way to approximate topological nontrivial configurations using matrix models. We obtain...

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Detalles Bibliográficos
Autores principales: Grosse, H., Klimcik, C., Presnajder, P.
Lenguaje:eng
Publicado: 1995
Materias:
Particle Physics - Theory
Acceso en línea:http://cds.cern.ch/record/290314
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author Grosse, H.
Klimcik, C.
Presnajder, P.
author_facet Grosse, H.
Klimcik, C.
Presnajder, P.
author_sort Grosse, H.
collection CERN
description We review recent progress in formulating two-dimensional models over noncommutative manifolds where the space-time coordinates enter in the formalism as non-commuting matrices. We describe the Fuzzy sphere and a way to approximate topological nontrivial configurations using matrix models. We obtain an ultraviolet cut off procedure, which respects the symmetries of the model. The treatment of spinors results from a supersymmetric formulation; our cut off procedure preserves even the supersymmetry.
id cern-290314
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
record_format invenio
spelling cern-2903142019-09-30T06:29:59Zhttp://cds.cern.ch/record/290314engGrosse, H.Klimcik, C.Presnajder, P.Simple field theoretical models on noncommutative manifoldsParticle Physics - TheoryWe review recent progress in formulating two-dimensional models over noncommutative manifolds where the space-time coordinates enter in the formalism as non-commuting matrices. We describe the Fuzzy sphere and a way to approximate topological nontrivial configurations using matrix models. We obtain an ultraviolet cut off procedure, which respects the symmetries of the model. The treatment of spinors results from a supersymmetric formulation; our cut off procedure preserves even the supersymmetry.hep-th/9510177CERN-TH-95-274AIHES-P-95-91CERN-TH-95-278UWTHPH-1995-33CERN-TH-95-278IHES-P-95-91UWTHPH-1995-33oai:cds.cern.ch:2903141995-10-24
spellingShingle Particle Physics - Theory
Grosse, H.
Klimcik, C.
Presnajder, P.
Simple field theoretical models on noncommutative manifolds
title Simple field theoretical models on noncommutative manifolds
title_full Simple field theoretical models on noncommutative manifolds
title_fullStr Simple field theoretical models on noncommutative manifolds
title_full_unstemmed Simple field theoretical models on noncommutative manifolds
title_short Simple field theoretical models on noncommutative manifolds
title_sort simple field theoretical models on noncommutative manifolds
topic Particle Physics - Theory
url http://cds.cern.ch/record/290314
work_keys_str_mv AT grosseh simplefieldtheoreticalmodelsonnoncommutativemanifolds
AT klimcikc simplefieldtheoreticalmodelsonnoncommutativemanifolds
AT presnajderp simplefieldtheoreticalmodelsonnoncommutativemanifolds

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