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A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field

We show that the XY quantum chain in a magnetic field is invariant under a two parameter deformation of the SU(1/1) superalgebra. One is led to an extension of the braid group and the Hecke algebra which reduce to the known ones when the two parameter coincide. The physical significance of the two p...

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Detalles Bibliográficos
Autores principales: Hinrichsen, Haye, Rittenberg, Vladimir
Lenguaje:eng
Publicado: 1991
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(92)91601-5
http://cds.cern.ch/record/226967
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author Hinrichsen, Haye
Rittenberg, Vladimir
author_facet Hinrichsen, Haye
Rittenberg, Vladimir
author_sort Hinrichsen, Haye
collection CERN
description We show that the XY quantum chain in a magnetic field is invariant under a two parameter deformation of the SU(1/1) superalgebra. One is led to an extension of the braid group and the Hecke algebra which reduce to the known ones when the two parameter coincide. The physical significance of the two parameters is discussed.
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institution Organización Europea para la Investigación Nuclear
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publishDate 1991
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spelling cern-2269672023-03-12T05:44:32Zdoi:10.1016/0370-2693(92)91601-5http://cds.cern.ch/record/226967engHinrichsen, HayeRittenberg, VladimirA Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic FieldParticle Physics - TheoryWe show that the XY quantum chain in a magnetic field is invariant under a two parameter deformation of the SU(1/1) superalgebra. One is led to an extension of the braid group and the Hecke algebra which reduce to the known ones when the two parameter coincide. The physical significance of the two parameters is discussed.We show that the XY quantum chain in a magnetic field is invariant under a two parameter deformation of the SU(1/1) superalgebra. One is led to an extension of the braid group and the Hecke algebra which reduce to the known ones when the two parameter coincide. The physical significance of the two parameters is discussed.We show that the XY quantum chain in a magnetic field is invariant under a two parameter deformation of the SU(1/1) superalgebra. One is led to an extension of the braid group and the Hecke algebra which reduce to the known ones when the two parameter coincide. The physical significance of the two parameters is discussed.We show that the XY quantum chain in a magnetic field is invariant under a two-parameter deformation of the SU (1|1) superalgebra. One is led to an extension of the braid group and the Hecke algebra which reduce to the known ones when the two parameters coincide. The physical significance of the two parameters is discussed.hep-th/9110074CERN-TH-6299-91CERN-TH-6299-91oai:cds.cern.ch:2269671991-10-30
spellingShingle Particle Physics - Theory
Hinrichsen, Haye
Rittenberg, Vladimir
A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field
title A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field
title_full A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field
title_fullStr A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field
title_full_unstemmed A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field
title_short A Two Parameter Deformation of the SU(1/1) Superalgebra and the XY Quantum Chain in a Magnetic Field
title_sort two parameter deformation of the su(1/1) superalgebra and the xy quantum chain in a magnetic field
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(92)91601-5
http://cds.cern.ch/record/226967
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