On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds

We derive the complete supergravity description of the N=2 scalar potential which realizes a generic flux-compactification on a Calabi-Yau manifold (generalized geometry). The effective potential V_{eff}=V_{(\partial_Z V=0)}$, obtained by integrating out the massive axionic fields of the special qua...

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Detalles Bibliográficos
Autores principales: D'Auria, R., Ferrara, S., Trigiante, M.
Lenguaje:eng
Publicado: 2007
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysb.2007.04.009
http://cds.cern.ch/record/1013414
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author D'Auria, R.
Ferrara, S.
Trigiante, M.
author_facet D'Auria, R.
Ferrara, S.
Trigiante, M.
author_sort D'Auria, R.
collection CERN
description We derive the complete supergravity description of the N=2 scalar potential which realizes a generic flux-compactification on a Calabi-Yau manifold (generalized geometry). The effective potential V_{eff}=V_{(\partial_Z V=0)}$, obtained by integrating out the massive axionic fields of the special quaternionic manifold, is manifestly mirror symmetric, i.e. invariant with respect to {\rm Sp}(2 h_2+2)\times {\rm Sp}(2 h_1+2) and their exchange, being h_1, h_2 the complex dimensions of the underlying special geometries. {\Scr V}_{eff} has a manifestly N=1 form in terms of a mirror symmetric superpotential $W$ proposed, some time ago, by Berglund and Mayr.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2007
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spelling cern-10134142023-03-14T18:12:51Zdoi:10.1016/j.nuclphysb.2007.04.009http://cds.cern.ch/record/1013414engD'Auria, R.Ferrara, S.Trigiante, M.On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifoldsParticle Physics - TheoryWe derive the complete supergravity description of the N=2 scalar potential which realizes a generic flux-compactification on a Calabi-Yau manifold (generalized geometry). The effective potential V_{eff}=V_{(\partial_Z V=0)}$, obtained by integrating out the massive axionic fields of the special quaternionic manifold, is manifestly mirror symmetric, i.e. invariant with respect to {\rm Sp}(2 h_2+2)\times {\rm Sp}(2 h_1+2) and their exchange, being h_1, h_2 the complex dimensions of the underlying special geometries. {\Scr V}_{eff} has a manifestly N=1 form in terms of a mirror symmetric superpotential $W$ proposed, some time ago, by Berglund and Mayr.We derive the complete supergravity description of the N=2 scalar potential which realizes a generic flux-compactification on a Calabi-Yau manifold (generalized geometry). The effective potential V_{eff}=V_{(\partial_Z V=0)}$, obtained by integrating out the massive axionic fields of the special quaternionic manifold, is manifestly mirror symmetric, i.e. invariant with respect to {\rm Sp}(2 h_2+2)\times {\rm Sp}(2 h_1+2) and their exchange, being h_1, h_2 the complex dimensions of the underlying special geometries. {\Scr V}_{eff} has a manifestly N=1 form in terms of a mirror symmetric superpotential $W$ proposed, some time ago, by Berglund and Mayr.We derive the complete supergravity description of the N = 2 scalar potential which realizes a generic flux-compactification on a Calabi–Yau manifold (generalized geometry). The effective potential V eff = V ( ∂ Z V = 0 ) , obtained by integrating out the massive axionic fields of the special quaternionic manifold, is manifestly mirror symmetric, i.e. invariant with respect to Sp ( 2 h 2 + 2 ) × Sp ( 2 h 1 + 2 ) and their exchange, being h 1 , h 2 the complex dimensions of the underlying special geometries. V eff has a manifestly N = 1 form in terms of a mirror symmetric superpotential W proposed, some time ago, by Berglund and Mayr.hep-th/0701247CERN-PH-TH-2007-015CERN-PH-TH-2007-015oai:cds.cern.ch:10134142007-01-26
spellingShingle Particle Physics - Theory
D'Auria, R.
Ferrara, S.
Trigiante, M.
On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
title On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
title_full On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
title_fullStr On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
title_full_unstemmed On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
title_short On the supergravity formulation of mirror symmetry in generalized Calabi-Yau manifolds
title_sort on the supergravity formulation of mirror symmetry in generalized calabi-yau manifolds
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.nuclphysb.2007.04.009
http://cds.cern.ch/record/1013414
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AT ferraras onthesupergravityformulationofmirrorsymmetryingeneralizedcalabiyaumanifolds
AT trigiantem onthesupergravityformulationofmirrorsymmetryingeneralizedcalabiyaumanifolds

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