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Higher-Order Gravitational Couplings and Modular Forms in $N=2$, $D=4$ Heterotic String Compactifications
The restrictions of target--space duality are imposed at the perturbative level on the holomorphic Wilsonian couplings that encode certain higher-order gravitational interactions in $N=2, D=4$ heterotic string compactifications. A crucial role is played by non-holomorphic corrections. The requiremen...
Autores principales: | , , , , |
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Lenguaje: | eng |
Publicado: |
1996
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1016/S0550-3213(96)90141-8 http://cds.cern.ch/record/307499 |
_version_ | 1780889872114909184 |
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author | de Wit, Bernard Lopes Cardoso, Gabriel Lust, Dieter Mohaupt, Thomas Rey, Soo-Jong |
author_facet | de Wit, Bernard Lopes Cardoso, Gabriel Lust, Dieter Mohaupt, Thomas Rey, Soo-Jong |
author_sort | de Wit, Bernard |
collection | CERN |
description | The restrictions of target--space duality are imposed at the perturbative level on the holomorphic Wilsonian couplings that encode certain higher-order gravitational interactions in $N=2, D=4$ heterotic string compactifications. A crucial role is played by non-holomorphic corrections. The requirement of symplectic covariance and an associated symplectic anomaly equation play an important role in determining their form. For models which also admit a type-II description, this equation coincides with the holomorphic anomaly equation for type-II compactifications in the limit that a specific Kähler-class modulus grows large. We explicitly evaluate some of the higher-order couplings for a toroidal compactification with two moduli $T$ and $U$, and we express them in terms of modular forms. |
id | cern-307499 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1996 |
record_format | invenio |
spelling | cern-3074992023-03-14T20:32:45Zdoi:10.1016/S0550-3213(96)90141-8http://cds.cern.ch/record/307499engde Wit, BernardLopes Cardoso, GabrielLust, DieterMohaupt, ThomasRey, Soo-JongHigher-Order Gravitational Couplings and Modular Forms in $N=2$, $D=4$ Heterotic String CompactificationsParticle Physics - TheoryThe restrictions of target--space duality are imposed at the perturbative level on the holomorphic Wilsonian couplings that encode certain higher-order gravitational interactions in $N=2, D=4$ heterotic string compactifications. A crucial role is played by non-holomorphic corrections. The requirement of symplectic covariance and an associated symplectic anomaly equation play an important role in determining their form. For models which also admit a type-II description, this equation coincides with the holomorphic anomaly equation for type-II compactifications in the limit that a specific Kähler-class modulus grows large. We explicitly evaluate some of the higher-order couplings for a toroidal compactification with two moduli $T$ and $U$, and we express them in terms of modular forms.The restrictions of target--space duality are imposed at the perturbative level on the holomorphic Wilsonian couplings that encode certain higher-order gravitational interactions in $N=2, D=4$ heterotic string compactifications. A crucial role is played by non-holomorphic corrections. The requirement of symplectic covariance and an associated symplectic anomaly equation play an important role in determining their form. For models which also admit a type-II description, this equation coincides with the holomorphic anomaly equation for type-II compactifications in the limit that a specific K\"ahler-class modulus grows large. We explicitly evaluate some of the higher-order couplings for a toroidal compactification with two moduli $T$ and $U$, and we express them in terms of modular forms.The restrictions of target-space duality are imposed at the perturbative level on the holomorphic Wilsonian couplings that encode certain higher-order gravitational interactions in N = 2, D = 4 heterotic string compactifications. A crucial role is played by non-holomorphic corrections. The requirement of symplectic covariance and an associated symplectic anomaly equation play an important role in determining their form. For models which also admit a type-11 description, this equation coincides with the holomorphic anomaly equation for type-II compactifications in the limit that a specific Kähler-class modulus grows large. We explicitly evaluate some of the higher-order couplings for a toroidal compactification with two moduli T and U , and we express them in terms of modular forms.hep-th/9607184CERN-TH-96-182HUB-EP-96-27SNUTP-96-075THU-96-25CERN-TH-96-182HUB-EP-96-27SNUTP-96-075THU-96-25oai:cds.cern.ch:3074991996-07-23 |
spellingShingle | Particle Physics - Theory de Wit, Bernard Lopes Cardoso, Gabriel Lust, Dieter Mohaupt, Thomas Rey, Soo-Jong Higher-Order Gravitational Couplings and Modular Forms in $N=2$, $D=4$ Heterotic String Compactifications |
title | Higher-Order Gravitational Couplings and Modular Forms in $N=2$, $D=4$ Heterotic String Compactifications |
title_full | Higher-Order Gravitational Couplings and Modular Forms in $N=2$, $D=4$ Heterotic String Compactifications |
title_fullStr | Higher-Order Gravitational Couplings and Modular Forms in $N=2$, $D=4$ Heterotic String Compactifications |
title_full_unstemmed | Higher-Order Gravitational Couplings and Modular Forms in $N=2$, $D=4$ Heterotic String Compactifications |
title_short | Higher-Order Gravitational Couplings and Modular Forms in $N=2$, $D=4$ Heterotic String Compactifications |
title_sort | higher-order gravitational couplings and modular forms in $n=2$, $d=4$ heterotic string compactifications |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1016/S0550-3213(96)90141-8 http://cds.cern.ch/record/307499 |
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