Simple currents versus orbifolds with discrete torsion: a complete classification

The classification of universality classes of random-matrix theory has recently been extended beyond the Wigner-Dyson ensembles. Several of the novel ensembles can be discussed naturally in the context of superconducting-normal hybrid systems. In this paper, we give a semiclassical interpretation of...

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Detalles Bibliográficos
Autores principales: Kreuzer, M., Schellekens, A.N.
Lenguaje:eng
Publicado: 1994
Materias:
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(94)90055-8
http://cds.cern.ch/record/251174
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author Kreuzer, M.
Schellekens, A.N.
author_facet Kreuzer, M.
Schellekens, A.N.
author_sort Kreuzer, M.
collection CERN
description The classification of universality classes of random-matrix theory has recently been extended beyond the Wigner-Dyson ensembles. Several of the novel ensembles can be discussed naturally in the context of superconducting-normal hybrid systems. In this paper, we give a semiclassical interpretation of their spectral form factors for both quantum graphs and Andreev billiards.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
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spelling cern-2511742020-07-25T02:11:38Zdoi:10.1016/0550-3213(94)90055-8http://cds.cern.ch/record/251174engKreuzer, M.Schellekens, A.N.Simple currents versus orbifolds with discrete torsion: a complete classificationGeneral Theoretical PhysicsThe classification of universality classes of random-matrix theory has recently been extended beyond the Wigner-Dyson ensembles. Several of the novel ensembles can be discussed naturally in the context of superconducting-normal hybrid systems. In this paper, we give a semiclassical interpretation of their spectral form factors for both quantum graphs and Andreev billiards.We give a complete classification of all simple current modular invariants, extending previous results for $(\Zbf_p)~k$ to arbitrary centers. We obtain a simple explicit formula for the most general case. Using orbifold techniques to this end, we find a one-to-one correspondence between simple current invariants and subgroups of the center with discrete torsions. As a by-product, we prove the conjectured monodromy independence of the total number of such invariants. The orbifold approach works in a straightforward way for symmetries of odd order, but some modifications are required to deal with symmetries of even order. With these modifications the orbifold construction with discrete torsion is complete within the class of simple current invariants. Surprisingly, there are cases where discrete torsion is a necessity rather than a possibility.We give a complete classification of all simple current modular invariants, extending previous results for (Z p ) k to arbitrary centers. We obtain a simple explicit formula for the most general case. Using orbifold techniques to this end, we find a one-to-one correspondence between simple current invariants and subgroups of the center with discrete torsions. As a by-product, we prove the conjectured monodromy independence of the total number of such invariants. The orbifold approach works in a straightforward way for symmetries of odd order, but some modifications are required to deal with symmetries of even order. With these modifications the orbifold construction with descrete torsion is complete within the class of simple current invariants. Surprisingly, there are cases where discrete torsion is a necessity rather than a possibility.We give a complete classification of all simple current modular invariants, extending previous results for $(\Zbf_p)^k$ to arbitrary centers. We obtain a simple explicit formula for the most general case. Using orbifold techniques to this end, we find a one-to-one correspondence between simple current invariants and subgroups of the center with discrete torsions. As a by-product, we prove the conjectured monodromy independence of the total number of such invariants. The orbifold approach works in a straightforward way for symmetries of odd order, but some modifications are required to deal with symmetries of even order. With these modifications the orbifold construction with discrete torsion is complete within the class of simple current invariants. Surprisingly, there are cases where discrete torsion is a necessity rather than a possibility.hep-th/9306145CERN-TH-6912-93NIKHEF-H-93-13CERN-TH.6912-93-&-NIKHEF-H-93-13CERN-TH-6912-93NIKHEF-H-93-13oai:cds.cern.ch:2511741994
spellingShingle General Theoretical Physics
Kreuzer, M.
Schellekens, A.N.
Simple currents versus orbifolds with discrete torsion: a complete classification
title Simple currents versus orbifolds with discrete torsion: a complete classification
title_full Simple currents versus orbifolds with discrete torsion: a complete classification
title_fullStr Simple currents versus orbifolds with discrete torsion: a complete classification
title_full_unstemmed Simple currents versus orbifolds with discrete torsion: a complete classification
title_short Simple currents versus orbifolds with discrete torsion: a complete classification
title_sort simple currents versus orbifolds with discrete torsion: a complete classification
topic General Theoretical Physics
url https://dx.doi.org/10.1016/0550-3213(94)90055-8
http://cds.cern.ch/record/251174
work_keys_str_mv AT kreuzerm simplecurrentsversusorbifoldswithdiscretetorsionacompleteclassification
AT schellekensan simplecurrentsversusorbifoldswithdiscretetorsionacompleteclassification

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