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Heterotic/heterotic duality in D=6,4

We consider E_8\times E_8 heterotic compactifications on K3 and K3\times T^2. The idea of heterotic/heterotic duality in D=6 has difficulties for generic compactifications since for large dilaton values some gauge groups acquire negative kinetic terms. Recently Duff, Minasian and Witten (DMW) sugges...

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Detalles Bibliográficos
Autores principales: Aldazabal, G, Font, A, Ibáñez, L E, Quevedo, Fernando
Lenguaje:eng
Publicado: 1996
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(96)00453-4
http://cds.cern.ch/record/296660
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author Aldazabal, G
Font, A
Ibáñez, L E
Quevedo, Fernando
author_facet Aldazabal, G
Font, A
Ibáñez, L E
Quevedo, Fernando
author_sort Aldazabal, G
collection CERN
description We consider E_8\times E_8 heterotic compactifications on K3 and K3\times T^2. The idea of heterotic/heterotic duality in D=6 has difficulties for generic compactifications since for large dilaton values some gauge groups acquire negative kinetic terms. Recently Duff, Minasian and Witten (DMW) suggested a solution to this problem which only works if the compactification is performed assuming the presence of symmetric gauge embeddings on both E_8's. We consider an alternative in which asymmetric embeddings are possible and the wrong sign of kinetic terms for large dilaton value is a signal of spontaneous symmetry breaking. Upon further toroidal compactification to D=4, we find that the duals in the DMW case correspond to N=2 models in which the \beta-function of the different group factors verify {\beta }_\alpha=12, whereas the asymmetric solutions that we propose have {\beta }_\alpha=24. We check the consistency of these dualities by studying the different large T,S limits of the gauge kinetic function. Dual N=1, D=4 models can also be obtained by the operation of appropriate freely acting twists, as shown in specific examples.
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institution Organización Europea para la Investigación Nuclear
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publishDate 1996
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spelling cern-2966602019-09-30T06:29:59Zdoi:10.1016/0370-2693(96)00453-4http://cds.cern.ch/record/296660engAldazabal, GFont, AIbáñez, L EQuevedo, FernandoHeterotic/heterotic duality in D=6,4Particle Physics - TheoryWe consider E_8\times E_8 heterotic compactifications on K3 and K3\times T^2. The idea of heterotic/heterotic duality in D=6 has difficulties for generic compactifications since for large dilaton values some gauge groups acquire negative kinetic terms. Recently Duff, Minasian and Witten (DMW) suggested a solution to this problem which only works if the compactification is performed assuming the presence of symmetric gauge embeddings on both E_8's. We consider an alternative in which asymmetric embeddings are possible and the wrong sign of kinetic terms for large dilaton value is a signal of spontaneous symmetry breaking. Upon further toroidal compactification to D=4, we find that the duals in the DMW case correspond to N=2 models in which the \beta-function of the different group factors verify {\beta }_\alpha=12, whereas the asymmetric solutions that we propose have {\beta }_\alpha=24. We check the consistency of these dualities by studying the different large T,S limits of the gauge kinetic function. Dual N=1, D=4 models can also be obtained by the operation of appropriate freely acting twists, as shown in specific examples.hep-th/9602097CERN-TH-96-035FTUAM-96-05UTTG-96-2oai:cds.cern.ch:2966601996-02-18
spellingShingle Particle Physics - Theory
Aldazabal, G
Font, A
Ibáñez, L E
Quevedo, Fernando
Heterotic/heterotic duality in D=6,4
title Heterotic/heterotic duality in D=6,4
title_full Heterotic/heterotic duality in D=6,4
title_fullStr Heterotic/heterotic duality in D=6,4
title_full_unstemmed Heterotic/heterotic duality in D=6,4
title_short Heterotic/heterotic duality in D=6,4
title_sort heterotic/heterotic duality in d=6,4
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/0370-2693(96)00453-4
http://cds.cern.ch/record/296660
work_keys_str_mv AT aldazabalg heteroticheteroticdualityind64
AT fonta heteroticheteroticdualityind64
AT ibanezle heteroticheteroticdualityind64
AT quevedofernando heteroticheteroticdualityind64