Modular symmetries and the swampland conjectures

Recent string theory tests of swampland ideas like the distance or the dS conjectures have been performed at weak coupling. Testing these ideas beyond the weak coupling regime remains challenging. We propose to exploit the modular symmetries of the moduli effective action to check swampland constrai...

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Detalles Bibliográficos
Autores: Gonzalo Badía, Eduardo, Uranga Urteaga, Ángel M., Ibañez Santiago, Luis Enrique
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/715252
Acceso en línea:http://hdl.handle.net/10486/715252
https://dx.doi.org/10.1007/JHEP05(2019)105
Access Level:acceso abierto
Palabra clave:Field Theories in Higher Dimensions
flux compactifications
superstring vacua
Física
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spelling Modular symmetries and the swampland conjecturesGonzalo Badía, EduardoUranga Urteaga, Ángel M.Ibañez Santiago, Luis EnriqueField Theories in Higher Dimensionsflux compactificationssuperstring vacuaFísicaRecent string theory tests of swampland ideas like the distance or the dS conjectures have been performed at weak coupling. Testing these ideas beyond the weak coupling regime remains challenging. We propose to exploit the modular symmetries of the moduli effective action to check swampland constraints beyond perturbation theory. As an example we study the case of heterotic 4d N = 1 compacti cations, whose non-perturbative effective action is known to be invariant under modular symmetries acting on the Kähler and complex structure moduli, in particular SL(2,Z) T-dualities (or subgroups thereof) for 4d heterotic or orbifold compactifications. Remarkably, in models with non-perturbative superpotentials, the corresponding duality invariant potentials diverge at points at infinite distance in moduli space. The divergence relates to towers of states becoming light, in agreement with the distance conjecture. We discuss specific examples of this behavior based on gaugino condensation in heterotic orbifolds. We show that these examples are dual to compactifications of type I' or Horava-Witten theory, in which the SL(2,Z) acts on the complex structure of an underlying 2-torus, and the tower of light states correspond to D0-branes or M-theory KK modes. The non-perturbative examples explored point to potentials not leading to weak coupling at infinite distance, but rather diverging in the asymptotic corners of moduli space, dynamically forbidding the access to points with global symmetries. We perform a study of general modular invariant potentials and nd that there are dS maxima and saddle points but no dS minima, and that all examples explored obey the re ned dS conjectureWe thank A. Font, A. Herráez, F. Marchesano, M. Montero and I. Valenzuela for useful discussions. This work has been supported by the ERC Advanced Grant SPLE under contract ERC-2012-ADG-20120216-320421, by the grants FPA2016-78645-P and FPA2015- 65480-P from the MINECO and the grant SEV-2016-0597 of the "Centro de Excelencia Severo Ochoa" Programme. The work of E. Gonzalo is supported by a FPU fellowship number FPU16/03985SpringerDepartamento de Física TeóricaFacultad de Ciencias20192019-05-20research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/715252https://dx.doi.org/10.1007/JHEP05(2019)105reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7152522026-06-23T12:46:27Z
dc.title.none.fl_str_mv Modular symmetries and the swampland conjectures
title Modular symmetries and the swampland conjectures
spellingShingle Modular symmetries and the swampland conjectures
Gonzalo Badía, Eduardo
Field Theories in Higher Dimensions
flux compactifications
superstring vacua
Física
title_short Modular symmetries and the swampland conjectures
title_full Modular symmetries and the swampland conjectures
title_fullStr Modular symmetries and the swampland conjectures
title_full_unstemmed Modular symmetries and the swampland conjectures
title_sort Modular symmetries and the swampland conjectures
dc.creator.none.fl_str_mv Gonzalo Badía, Eduardo
Uranga Urteaga, Ángel M.
Ibañez Santiago, Luis Enrique
author Gonzalo Badía, Eduardo
author_facet Gonzalo Badía, Eduardo
Uranga Urteaga, Ángel M.
Ibañez Santiago, Luis Enrique
author_role author
author2 Uranga Urteaga, Ángel M.
Ibañez Santiago, Luis Enrique
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Física Teórica
Facultad de Ciencias
dc.subject.none.fl_str_mv Field Theories in Higher Dimensions
flux compactifications
superstring vacua
Física
topic Field Theories in Higher Dimensions
flux compactifications
superstring vacua
Física
description Recent string theory tests of swampland ideas like the distance or the dS conjectures have been performed at weak coupling. Testing these ideas beyond the weak coupling regime remains challenging. We propose to exploit the modular symmetries of the moduli effective action to check swampland constraints beyond perturbation theory. As an example we study the case of heterotic 4d N = 1 compacti cations, whose non-perturbative effective action is known to be invariant under modular symmetries acting on the Kähler and complex structure moduli, in particular SL(2,Z) T-dualities (or subgroups thereof) for 4d heterotic or orbifold compactifications. Remarkably, in models with non-perturbative superpotentials, the corresponding duality invariant potentials diverge at points at infinite distance in moduli space. The divergence relates to towers of states becoming light, in agreement with the distance conjecture. We discuss specific examples of this behavior based on gaugino condensation in heterotic orbifolds. We show that these examples are dual to compactifications of type I' or Horava-Witten theory, in which the SL(2,Z) acts on the complex structure of an underlying 2-torus, and the tower of light states correspond to D0-branes or M-theory KK modes. The non-perturbative examples explored point to potentials not leading to weak coupling at infinite distance, but rather diverging in the asymptotic corners of moduli space, dynamically forbidding the access to points with global symmetries. We perform a study of general modular invariant potentials and nd that there are dS maxima and saddle points but no dS minima, and that all examples explored obey the re ned dS conjecture
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-05-20
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/715252
https://dx.doi.org/10.1007/JHEP05(2019)105
url http://hdl.handle.net/10486/715252
https://dx.doi.org/10.1007/JHEP05(2019)105
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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