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Metastable de Sitter vacua in N=2 to N=1 truncated supergravity

We study the possibility of achieving metastable de Sitter vacua in general N=2 to N=1 truncated supergravities without vector multiplets, and compare with the situations arising in N=2 theories with only hypermultiplets and N=1 theories with only chiral multiplets. In N=2 theories based on a quater...

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Autores principales: Catino, Francesca, Scrucca, Claudio A., Smyth, Paul
Lenguaje:eng
Publicado: 2012
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP10(2012)124
http://cds.cern.ch/record/1476477
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author Catino, Francesca
Scrucca, Claudio A.
Smyth, Paul
author_facet Catino, Francesca
Scrucca, Claudio A.
Smyth, Paul
author_sort Catino, Francesca
collection CERN
description We study the possibility of achieving metastable de Sitter vacua in general N=2 to N=1 truncated supergravities without vector multiplets, and compare with the situations arising in N=2 theories with only hypermultiplets and N=1 theories with only chiral multiplets. In N=2 theories based on a quaternionic manifold and a graviphoton gauging, de Sitter vacua are necessarily unstable, as a result of the peculiar properties of the geometry. In N=1 theories based on a Kahler manifold and a superpotential, de Sitter vacua can instead be metastable provided the geometry satisfies some constraint and the superpotential can be freely adjusted. In N=2 to N=1 truncations, the crucial requirement is then that the tachyon of the mother theory be projected out from the daughter theory, so that the original unstable vacuum is projected to a metastable vacuum. We study the circumstances under which this may happen and derive general constraints for metastability on the geometry and the gauging. We then study in full detail the simplest case of quaternionic manifolds of dimension four with at least one isometry, for which there exists a general parametrization, and study two types of truncations defining Kahler submanifolds of dimension two. As an application, we finally discuss the case of the universal hypermultiplet of N=2 superstrings and its truncations to the dilaton chiral multiplet of N=1 superstrings. We argue that de Sitter vacua in such theories are necessarily unstable in weakly coupled situations, while they can in principle be metastable in strongly coupled regimes.
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spelling cern-14764772023-10-04T06:50:59Zdoi:10.1007/JHEP10(2012)124http://cds.cern.ch/record/1476477engCatino, FrancescaScrucca, Claudio A.Smyth, PaulMetastable de Sitter vacua in N=2 to N=1 truncated supergravityParticle Physics - TheoryWe study the possibility of achieving metastable de Sitter vacua in general N=2 to N=1 truncated supergravities without vector multiplets, and compare with the situations arising in N=2 theories with only hypermultiplets and N=1 theories with only chiral multiplets. In N=2 theories based on a quaternionic manifold and a graviphoton gauging, de Sitter vacua are necessarily unstable, as a result of the peculiar properties of the geometry. In N=1 theories based on a Kahler manifold and a superpotential, de Sitter vacua can instead be metastable provided the geometry satisfies some constraint and the superpotential can be freely adjusted. In N=2 to N=1 truncations, the crucial requirement is then that the tachyon of the mother theory be projected out from the daughter theory, so that the original unstable vacuum is projected to a metastable vacuum. We study the circumstances under which this may happen and derive general constraints for metastability on the geometry and the gauging. We then study in full detail the simplest case of quaternionic manifolds of dimension four with at least one isometry, for which there exists a general parametrization, and study two types of truncations defining Kahler submanifolds of dimension two. As an application, we finally discuss the case of the universal hypermultiplet of N=2 superstrings and its truncations to the dilaton chiral multiplet of N=1 superstrings. We argue that de Sitter vacua in such theories are necessarily unstable in weakly coupled situations, while they can in principle be metastable in strongly coupled regimes.We study the possibility of achieving metastable de Sitter vacua in general N=2 to N=1 truncated supergravities without vector multiplets, and compare with the situations arising in N=2 theories with only hypermultiplets and N=1 theories with only chiral multiplets. In N=2 theories based on a quaternionic manifold and a graviphoton gauging, de Sitter vacua are necessarily unstable, as a result of the peculiar properties of the geometry. In N=1 theories based on a Kahler manifold and a superpotential, de Sitter vacua can instead be metastable provided the geometry satisfies some constraint and the superpotential can be freely adjusted. In N=2 to N=1 truncations, the crucial requirement is then that the tachyon of the mother theory be projected out from the daughter theory, so that the original unstable vacuum is projected to a metastable vacuum. We study the circumstances under which this may happen and derive general constraints for metastability on the geometry and the gauging. We then study in full detail the simplest case of quaternionic manifolds of dimension four with at least one isometry, for which there exists a general parametrization, and study two types of truncations defining Kahler submanifolds of dimension two. As an application, we finally discuss the case of the universal hypermultiplet of N=2 superstrings and its truncations to the dilaton chiral multiplet of N=1 superstrings. We argue that de Sitter vacua in such theories are necessarily unstable in weakly coupled situations, while they can in principle be metastable in strongly coupled regimes.arXiv:1209.0912CERN-PH-TH-2012-238CERN-PH-TH-2012-238oai:cds.cern.ch:14764772012-09-06
spellingShingle Particle Physics - Theory
Catino, Francesca
Scrucca, Claudio A.
Smyth, Paul
Metastable de Sitter vacua in N=2 to N=1 truncated supergravity
title Metastable de Sitter vacua in N=2 to N=1 truncated supergravity
title_full Metastable de Sitter vacua in N=2 to N=1 truncated supergravity
title_fullStr Metastable de Sitter vacua in N=2 to N=1 truncated supergravity
title_full_unstemmed Metastable de Sitter vacua in N=2 to N=1 truncated supergravity
title_short Metastable de Sitter vacua in N=2 to N=1 truncated supergravity
title_sort metastable de sitter vacua in n=2 to n=1 truncated supergravity
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP10(2012)124
http://cds.cern.ch/record/1476477
work_keys_str_mv AT catinofrancesca metastabledesittervacuainn2ton1truncatedsupergravity
AT scruccaclaudioa metastabledesittervacuainn2ton1truncatedsupergravity
AT smythpaul metastabledesittervacuainn2ton1truncatedsupergravity