R-R Scalars, U-Duality and Solvable Lie Algebras

We consider the group theoretical properties of R-R scalars of string theories in the low-energy supergravity limit and relate them to the solvable Lie subalgebra G_s\subset U of the U-duality algebra that generates the scalar manifold of the theory: exp[G_s]= U/H. Peccei--Quinn symmetries are natur...

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Autores principales: Andrianopoli, L., D'Auria, R., Ferrara, S., Fre, P., Trigiante, M.
Lenguaje:eng
Publicado: 1996
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0550-3213(97)00220-4
http://cds.cern.ch/record/314153
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author Andrianopoli, L.
D'Auria, R.
Ferrara, S.
Fre, P.
Trigiante, M.
author_facet Andrianopoli, L.
D'Auria, R.
Ferrara, S.
Fre, P.
Trigiante, M.
author_sort Andrianopoli, L.
collection CERN
description We consider the group theoretical properties of R-R scalars of string theories in the low-energy supergravity limit and relate them to the solvable Lie subalgebra G_s\subset U of the U-duality algebra that generates the scalar manifold of the theory: exp[G_s]= U/H. Peccei--Quinn symmetries are naturally related with the maximal abelian ideal {\cal A} \subset G_s of the solvable Lie algebra. The solvable algebras of maximal rank occurring in maximal supergravities in diverse dimensions are described in some detail. A particular example of a solvable Lie algebra is a rank one, 2(h_{2,1}+2)-dimensional algebra displayed by the classical quaternionic spaces that are obtained via c-map from the special Kählerian moduli spaces of Calabi-Yau threefolds.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
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spelling cern-3141532023-03-12T05:57:10Zdoi:10.1016/S0550-3213(97)00220-4http://cds.cern.ch/record/314153engAndrianopoli, L.D'Auria, R.Ferrara, S.Fre, P.Trigiante, M.R-R Scalars, U-Duality and Solvable Lie AlgebrasParticle Physics - TheoryWe consider the group theoretical properties of R-R scalars of string theories in the low-energy supergravity limit and relate them to the solvable Lie subalgebra G_s\subset U of the U-duality algebra that generates the scalar manifold of the theory: exp[G_s]= U/H. Peccei--Quinn symmetries are naturally related with the maximal abelian ideal {\cal A} \subset G_s of the solvable Lie algebra. The solvable algebras of maximal rank occurring in maximal supergravities in diverse dimensions are described in some detail. A particular example of a solvable Lie algebra is a rank one, 2(h_{2,1}+2)-dimensional algebra displayed by the classical quaternionic spaces that are obtained via c-map from the special Kählerian moduli spaces of Calabi-Yau threefolds.We consider the group theoretical properties of R--R scalars of string theories in the low-energy supergravity limit and relate them to the solvable Lie subalgebra $\IG_s\subset U$ of the U--duality algebra that generates the scalar manifold of the theory: $\exp[\IG_s]= U/H$. Peccei-Quinn symmetries are naturally related with the maximal abelian ideal ${\cal A} \subset \IG_s $ of the solvable Lie algebra. The solvable algebras of maximal rank occurring in maximal supergravities in diverse dimensions are described in some detail. A particular example of a solvable Lie algebra is a rank one, $2(h_{2,1}+2)$--dimensional algebra displayed by the classical quaternionic spaces that are obtained via c-map from the special K\"ahlerian moduli spaces of Calabi-Yau threefolds.We consider the group theoretical properties of R-R scalars of string theories in the low-energy supergravity limit and relate them to the solvable Lie subalgebra G s ⊂ U of the U -duality algebra that generates the scalar manifold of the theory: exp [ G s ] = U/H . Peccei-Quinn symmetries are naturally related with the maximal abelian ideal A ⊂ G s of the solvable Lie algebra. The solvable algebras of maximal rank occurring in maximal supergravities in diverse dimensions are described in some detail. A particular example of a solvable Lie algebra is a rank one, 2( h 2,1 +2)-dimensional algebra displayed by the classical quatemionic spaces that are obtained via the c-map from the special Kählerian moduli spaces of Calabi-Yau threefolds.hep-th/9611014CERN-TH-96-315CERN-TH-96-315oai:cds.cern.ch:3141531996-11-04
spellingShingle Particle Physics - Theory
Andrianopoli, L.
D'Auria, R.
Ferrara, S.
Fre, P.
Trigiante, M.
R-R Scalars, U-Duality and Solvable Lie Algebras
title R-R Scalars, U-Duality and Solvable Lie Algebras
title_full R-R Scalars, U-Duality and Solvable Lie Algebras
title_fullStr R-R Scalars, U-Duality and Solvable Lie Algebras
title_full_unstemmed R-R Scalars, U-Duality and Solvable Lie Algebras
title_short R-R Scalars, U-Duality and Solvable Lie Algebras
title_sort r-r scalars, u-duality and solvable lie algebras
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0550-3213(97)00220-4
http://cds.cern.ch/record/314153
work_keys_str_mv AT andrianopolil rrscalarsudualityandsolvableliealgebras
AT dauriar rrscalarsudualityandsolvableliealgebras
AT ferraras rrscalarsudualityandsolvableliealgebras
AT frep rrscalarsudualityandsolvableliealgebras
AT trigiantem rrscalarsudualityandsolvableliealgebras

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