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A comment on duality transformations and (discrete) gauge symmetries in four-dimensional strings

We discuss the relationship between target space modular invariance and discrete gauge symmetries in four-dimensional orbifold-like strings. First we derive the modular transformation properties of various string vertex operators of the massless string fields. Then we find that for supersymmetric co...

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Detalles Bibliográficos
Autores principales: Ibanez, Luis E., Lust, Dieter
Lenguaje:eng
Publicado: 1993
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(93)90632-R
http://cds.cern.ch/record/244336
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author Ibanez, Luis E.
Lust, Dieter
author_facet Ibanez, Luis E.
Lust, Dieter
author_sort Ibanez, Luis E.
collection CERN
description We discuss the relationship between target space modular invariance and discrete gauge symmetries in four-dimensional orbifold-like strings. First we derive the modular transformation properties of various string vertex operators of the massless string fields. Then we find that for supersymmetric compactifications the action of the duality elements, leaving invariant the multicritical points, corresponds to a combination of finite K\"ahler and gauge transformations. However, those finite gauge transformations are not elements of a remnant discrete gauge symmetry. We suggest that, at least in the case of Gepner models corresponding to tensor products of identical minimal models, the duality element leaving invariant the multicritical point corresponds to the ${\bf Z}_{k+2}$ symmetry of any of the minimal $N=2$ models appearing in the tensor product.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1993
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spelling cern-2443362023-03-14T17:13:12Zdoi:10.1016/0370-2693(93)90632-Rhttp://cds.cern.ch/record/244336engIbanez, Luis E.Lust, DieterA comment on duality transformations and (discrete) gauge symmetries in four-dimensional stringsGeneral Theoretical PhysicsParticle Physics - TheoryWe discuss the relationship between target space modular invariance and discrete gauge symmetries in four-dimensional orbifold-like strings. First we derive the modular transformation properties of various string vertex operators of the massless string fields. Then we find that for supersymmetric compactifications the action of the duality elements, leaving invariant the multicritical points, corresponds to a combination of finite K\"ahler and gauge transformations. However, those finite gauge transformations are not elements of a remnant discrete gauge symmetry. We suggest that, at least in the case of Gepner models corresponding to tensor products of identical minimal models, the duality element leaving invariant the multicritical point corresponds to the ${\bf Z}_{k+2}$ symmetry of any of the minimal $N=2$ models appearing in the tensor product.We discuss the relationship between target space modular invariance and discrete gauge symmetries in four-dimensional orbifold-like strings. First we derive the modular transformation properties of various string vertex operators of the massless string fields. Then we find that for supersymmetric compactifications the action of the duality elements, leaving invariant the multicritical points, corresponds to a combination of finite K\"ahler and gauge transformations. However, those finite gauge transformations are not elements of a remnant discrete gauge symmetry. We suggest that, at least in the case of Gepner models corresponding to tensor products of identical minimal models, the duality element leaving invariant the multicritical point corresponds to the ${\bf Z}_{k+2}$ symmetry of any of the minimal $N=2$ models appearing in the tensor product.We discuss the relationship between target space modular invariance and discrete gauge symmetries in four-dimensional orbifold-like strings. First we derive the modular transformation properties of various string vertex operators of the massless string fields. Then we find that for supersymmetric compactifications the action of the duality elements, leaving invariant the multicritical points, corresponds to a combination of finite K\"ahler and gauge transformations. However, those finite gauge transformations are not elements of a remnant discrete gauge symmetry. We suggest that, at least in the case of Gepner models corresponding to tensor products of identical minimal models, the duality element leaving invariant the multicritical point corresponds to the ${\bf Z}_{k+2}$ symmetry of any of the minimal $N=2$ models appearing in the tensor product.We discuss the relationship between target space modular invariance and discrete gauge symmetries in four-dimensional orbifold-like strings. First we derive the modular transformation properties of various string vertex operators of the massless string fields. Then we find that for supersymmetric compactifications the action of the duality elements, leaving invariant the multicritical points, corresponds to a combination of finite Kähler and gauge transformations. However, those finite gauge transformations are not elements of a remnant discrete gauge symmetry. We suggest that, at least in the case of Gepner models corresponding to tensor products of identical minimal models, the duality element leaving invariant the multicritical point corresponds to the Z +2 symmetry of any of the minimal N = 2 models appearing in the tensor product.hep-th/9212089CERN-TH-6737-92FTUAM-92-40CERN-TH-6737-92FTUAM-92-40oai:cds.cern.ch:2443361993
spellingShingle General Theoretical Physics
Particle Physics - Theory
Ibanez, Luis E.
Lust, Dieter
A comment on duality transformations and (discrete) gauge symmetries in four-dimensional strings
title A comment on duality transformations and (discrete) gauge symmetries in four-dimensional strings
title_full A comment on duality transformations and (discrete) gauge symmetries in four-dimensional strings
title_fullStr A comment on duality transformations and (discrete) gauge symmetries in four-dimensional strings
title_full_unstemmed A comment on duality transformations and (discrete) gauge symmetries in four-dimensional strings
title_short A comment on duality transformations and (discrete) gauge symmetries in four-dimensional strings
title_sort comment on duality transformations and (discrete) gauge symmetries in four-dimensional strings
topic General Theoretical Physics
Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(93)90632-R
http://cds.cern.ch/record/244336
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