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Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world

Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the N-th vacuum coincides with the U(N) noncommutative gauge...

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Detalles Bibliográficos
Autores principales: Dubovsky, S.L., Sibiryakov, S.M.
Lenguaje:eng
Publicado: 2004
Materias:
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysb.2004.05.013
http://cds.cern.ch/record/704966
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author Dubovsky, S.L.
Sibiryakov, S.M.
author_facet Dubovsky, S.L.
Sibiryakov, S.M.
author_sort Dubovsky, S.L.
collection CERN
description Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the N-th vacuum coincides with the U(N) noncommutative gauge theory. We construct domain walls on noncommutative plane, which separate vacua with different gauge groups in gauge theory with adjoint scalar field. The scalar field has nonminimal coupling to the gauge field, such that the scale of noncommutativity is determined by the vacuum value of the scalar field. The domain walls are solutions of the BPS equations in the theory. It is natural to interprete the domain wall as a stack of D-branes plus a stack of folded D-branes. We support this interpretation by the analysis of small fluctuations around domain walls, and suggest that such configurations of branes emerge as solutions of the Matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. We point out that the folded D-brane per se provides an explicit realization of the "mirror world" idea, and speculate on some phenomenological consequences of this scenario.
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institution Organización Europea para la Investigación Nuclear
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spelling cern-7049662023-03-14T20:54:52Zdoi:10.1016/j.nuclphysb.2004.05.013http://cds.cern.ch/record/704966engDubovsky, S.L.Sibiryakov, S.M.Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror worldParticle Physics - TheoryNoncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the N-th vacuum coincides with the U(N) noncommutative gauge theory. We construct domain walls on noncommutative plane, which separate vacua with different gauge groups in gauge theory with adjoint scalar field. The scalar field has nonminimal coupling to the gauge field, such that the scale of noncommutativity is determined by the vacuum value of the scalar field. The domain walls are solutions of the BPS equations in the theory. It is natural to interprete the domain wall as a stack of D-branes plus a stack of folded D-branes. We support this interpretation by the analysis of small fluctuations around domain walls, and suggest that such configurations of branes emerge as solutions of the Matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. We point out that the folded D-brane per se provides an explicit realization of the "mirror world" idea, and speculate on some phenomenological consequences of this scenario.Noncommutative U(N) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U(1) theory possesses a sequence of vacua labeled by an integer parameter N, and the theory in the vicinity of the N-th vacuum coincides with the U(N) noncommutative gauge theory. We construct domain walls on noncommutative plane, which separate vacua with different gauge groups in gauge theory with adjoint scalar field. The scalar field has nonminimal coupling to the gauge field, such that the scale of noncommutativity is determined by the vacuum value of the scalar field. The domain walls are solutions of the BPS equations in the theory. It is natural to interprete the domain wall as a stack of D-branes plus a stack of folded D-branes. We support this interpretation by the analysis of small fluctuations around domain walls, and suggest that such configurations of branes emerge as solutions of the Matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. We point out that the folded D-brane per se provides an explicit realization of the mirror world idea, and speculate on some phenomenological consequences of this scenario.Noncommutative U( N ) gauge theories at different N may be often thought of as different sectors of a single theory. For instance, U (1) theory possesses a sequence of vacua labeled by an integer parameter N , and the theory in the vicinity of the N th vacuum coincides with the U( N ) noncommutative gauge theory. We construct domain walls on noncommutative plane, which separate vacua with different gauge groups in gauge theory with adjoint scalar field. The scalar field has nonminimal coupling to the gauge field, such that the scale of noncommutativity is determined by the vacuum value of the scalar field. The domain walls are solutions of the BPS equations in the theory. It is natural to interprete the domain wall as a stack of D-branes plus a stack of folded D-branes. We support this interpretation by the analysis of small fluctuations around domain walls, and suggest that such configurations of branes emerge as solutions of the Matrix model in large class of pp-wave backgrounds with inhomogeneous field strength. We point out that the folded D-brane per se provides an explicit realization of the “mirror world” idea, and speculate on some phenomenological consequences of this scenario.hep-th/0401046INR-TH-2004-1INR-TH-2004-1oai:cds.cern.ch:7049662004-01-08
spellingShingle Particle Physics - Theory
Dubovsky, S.L.
Sibiryakov, S.M.
Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world
title Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world
title_full Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world
title_fullStr Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world
title_full_unstemmed Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world
title_short Domain walls in noncommutative gauge theories, folded D-branes, and communication with mirror world
title_sort domain walls in noncommutative gauge theories, folded d-branes, and communication with mirror world
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.nuclphysb.2004.05.013
http://cds.cern.ch/record/704966
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AT sibiryakovsm domainwallsinnoncommutativegaugetheoriesfoldeddbranesandcommunicationwithmirrorworld