Meromorphic c = 24 conformal field theories

Modular invariant conformal field theories with just one primary field and central charge $c=24$ are considered. It has been shown previously that if the chiral algebra of such a theory contains spin-1 currents, it is either the Leech lattice CFT, or it contains a Kac-Moody sub-algebra with total ce...

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Detalles Bibliográficos
Autor principal: Schellekens, A.N.
Lenguaje:eng
Publicado: 1993
Materias:
General Theoretical Physics
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/BF02099044
http://cds.cern.ch/record/237159
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author Schellekens, A.N.
author_facet Schellekens, A.N.
author_sort Schellekens, A.N.
collection CERN
description Modular invariant conformal field theories with just one primary field and central charge $c=24$ are considered. It has been shown previously that if the chiral algebra of such a theory contains spin-1 currents, it is either the Leech lattice CFT, or it contains a Kac-Moody sub-algebra with total central charge 24. In this paper all meromorphic modular invariant combinations of the allowed Kac-Moody combinations are obtained. The result suggests the existence of 71 meromorphic $c=24$ theories, including the 41 that were already known.
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institution Organización Europea para la Investigación Nuclear
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publishDate 1993
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spelling cern-2371592020-07-23T02:45:12Zdoi:10.1007/BF02099044http://cds.cern.ch/record/237159engSchellekens, A.N.Meromorphic c = 24 conformal field theoriesGeneral Theoretical PhysicsParticle Physics - TheoryModular invariant conformal field theories with just one primary field and central charge $c=24$ are considered. It has been shown previously that if the chiral algebra of such a theory contains spin-1 currents, it is either the Leech lattice CFT, or it contains a Kac-Moody sub-algebra with total central charge 24. In this paper all meromorphic modular invariant combinations of the allowed Kac-Moody combinations are obtained. The result suggests the existence of 71 meromorphic $c=24$ theories, including the 41 that were already known.Modular invariant conformal field theories with just one primary field and central charge $c=24$ are considered. It has been shown previously that if the chiral algebra of such a theory contains spin-1 currents, it is either the Leech lattice CFT, or it contains a Kac-Moody sub-algebra with total central charge 24. In this paper all meromorphic modular invariant combinations of the allowed Kac-Moody combinations are obtained. The result suggests the existence of 71 meromorphic $c=24$ theories, including the 41 that were already known.hep-th/9205072CERN-TH-6478-92CERN-TH-6478-92oai:cds.cern.ch:2371591993
spellingShingle General Theoretical Physics
Particle Physics - Theory
Schellekens, A.N.
Meromorphic c = 24 conformal field theories
title Meromorphic c = 24 conformal field theories
title_full Meromorphic c = 24 conformal field theories
title_fullStr Meromorphic c = 24 conformal field theories
title_full_unstemmed Meromorphic c = 24 conformal field theories
title_short Meromorphic c = 24 conformal field theories
title_sort meromorphic c = 24 conformal field theories
topic General Theoretical Physics
Particle Physics - Theory
url https://dx.doi.org/10.1007/BF02099044
http://cds.cern.ch/record/237159
work_keys_str_mv AT schellekensan meromorphicc24conformalfieldtheories

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