A supersymmetric matrix model: III. Hidden SUSY in statistical systems

The Hamiltonian of a recently proposed supersymmetric matrix model has been shown to become block-diagonal in the large-N, infinite 't Hooft coupling limit. We show that (most of) these blocks can be mapped into seemingly non-supersymmetric $(1+1)$-dimensional statistical systems, thus implying...

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Detalles Bibliográficos
Autores principales: Veneziano, G., Wosiek, J.
Lenguaje:eng
Publicado: 2006
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2006/11/030
http://cds.cern.ch/record/986503
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author Veneziano, G.
Wosiek, J.
author_facet Veneziano, G.
Wosiek, J.
author_sort Veneziano, G.
collection CERN
description The Hamiltonian of a recently proposed supersymmetric matrix model has been shown to become block-diagonal in the large-N, infinite 't Hooft coupling limit. We show that (most of) these blocks can be mapped into seemingly non-supersymmetric $(1+1)$-dimensional statistical systems, thus implying non-trivial (and apparently yet-unknown) relations within their spectra. Furthermore, the ground states of XXZ-chains with an odd number of sites and asymmetry parameter $\Delta = - 1/2$, objects of the much-discussed Razumov--Stroganov conjectures, turn out to be just the strong-coupling supersymmetric vacua of our matrix model.
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institution Organización Europea para la Investigación Nuclear
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publishDate 2006
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spelling cern-9865032023-03-14T18:15:01Zdoi:10.1088/1126-6708/2006/11/030http://cds.cern.ch/record/986503engVeneziano, G.Wosiek, J.A supersymmetric matrix model: III. Hidden SUSY in statistical systemsParticle Physics - TheoryThe Hamiltonian of a recently proposed supersymmetric matrix model has been shown to become block-diagonal in the large-N, infinite 't Hooft coupling limit. We show that (most of) these blocks can be mapped into seemingly non-supersymmetric $(1+1)$-dimensional statistical systems, thus implying non-trivial (and apparently yet-unknown) relations within their spectra. Furthermore, the ground states of XXZ-chains with an odd number of sites and asymmetry parameter $\Delta = - 1/2$, objects of the much-discussed Razumov--Stroganov conjectures, turn out to be just the strong-coupling supersymmetric vacua of our matrix model.The Hamiltonian of a recently proposed supersymmetric matrix model has been shown to become block-diagonal in the large-N, infinite 't Hooft coupling limit. We show that (most of) these blocks can be mapped into seemingly non-supersymmetric $(1+1)$-dimensional statistical systems, thus implying non-trivial (and apparently yet-unknown) relations within their spectra. Furthermore, the ground states of XXZ-chains with an odd number of sites and asymmetry parameter $\Delta = - 1/2$, objects of the much-discussed Razumov--Stroganov conjectures, turn out to be just the strong-coupling supersymmetric vacua of our matrix model.hep-th/0609210CERN-PH-TH-2006-185TPJU-10-2006CERN-PH-TH-2006-185oai:cds.cern.ch:9865032006-09-28
spellingShingle Particle Physics - Theory
Veneziano, G.
Wosiek, J.
A supersymmetric matrix model: III. Hidden SUSY in statistical systems
title A supersymmetric matrix model: III. Hidden SUSY in statistical systems
title_full A supersymmetric matrix model: III. Hidden SUSY in statistical systems
title_fullStr A supersymmetric matrix model: III. Hidden SUSY in statistical systems
title_full_unstemmed A supersymmetric matrix model: III. Hidden SUSY in statistical systems
title_short A supersymmetric matrix model: III. Hidden SUSY in statistical systems
title_sort supersymmetric matrix model: iii. hidden susy in statistical systems
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2006/11/030
http://cds.cern.ch/record/986503
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AT wosiekj asupersymmetricmatrixmodeliiihiddensusyinstatisticalsystems
AT venezianog supersymmetricmatrixmodeliiihiddensusyinstatisticalsystems
AT wosiekj supersymmetricmatrixmodeliiihiddensusyinstatisticalsystems

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