A gravitino distance conjecture

We conjecture that in a consistent supergravity theory with non-vanishing gravitino mass, the limit m3/2 → 0 is at infinite distance. In particular one can write Mtower ~ m3/2δ so that as the gravitino mass goes to zero, a tower of KK states as well as emergent strings becomes tensionless. This conj...

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Autores: Castellano Mora, Alberto, Font, Anamaría, Herráez, Alvaro, Ibañez Santiago, Luis Enrique
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/704994
Acceso en línea:http://hdl.handle.net/10486/704994
https://dx.doi.org/10.1007/JHEP08(2021)092
Access Level:acceso abierto
Palabra clave:Inflation
Supergravity
Cosmos
Física
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spelling A gravitino distance conjectureCastellano Mora, AlbertoFont, AnamaríaHerráez, AlvaroIbañez Santiago, Luis EnriqueInflationSupergravityCosmosFísicaWe conjecture that in a consistent supergravity theory with non-vanishing gravitino mass, the limit m3/2 → 0 is at infinite distance. In particular one can write Mtower ~ m3/2δ so that as the gravitino mass goes to zero, a tower of KK states as well as emergent strings becomes tensionless. This conjecture may be motivated from the Weak Gravity Conjecture as applied to strings and membranes and implies in turn the AdS Distance Conjecture. We test this proposal in classical 4d type IIA orientifold vacua in which one obtains a range of values 1/3 ≤ δ ≤ 1. The parameter δ is related to the scale decoupling exponent in AdS vacua and to the α exponent in the Swampland Distance Conjecture for the type IIA complex structure. We present a general analysis of the gravitino mass in the limits of moduli space in terms of limiting Mixed Hodge Structures and study in some detail the case of two-moduli F-theory settings. Moreover, we obtain general lower bounds δ ≥ 1/3,1/4 for Calabi-Yau threefolds and fourfolds, respectively. The conjecture has important phenomenological implications. In particular we argue that low-energy supersymmetry of order 1 TeV is only obtained if there is a tower of KK states at an intermediate scale, of order 108 GeV. One also has an upper bound for the Hubble constant upon inflation H ≲ m3/2δMP(1−δ)SpringerDepartamento de Física TeóricaFacultad de Ciencias20212021-08-18research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/704994https://dx.doi.org/10.1007/JHEP08(2021)092reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7049942026-06-23T12:46:27Z
dc.title.none.fl_str_mv A gravitino distance conjecture
title A gravitino distance conjecture
spellingShingle A gravitino distance conjecture
Castellano Mora, Alberto
Inflation
Supergravity
Cosmos
Física
title_short A gravitino distance conjecture
title_full A gravitino distance conjecture
title_fullStr A gravitino distance conjecture
title_full_unstemmed A gravitino distance conjecture
title_sort A gravitino distance conjecture
dc.creator.none.fl_str_mv Castellano Mora, Alberto
Font, Anamaría
Herráez, Alvaro
Ibañez Santiago, Luis Enrique
author Castellano Mora, Alberto
author_facet Castellano Mora, Alberto
Font, Anamaría
Herráez, Alvaro
Ibañez Santiago, Luis Enrique
author_role author
author2 Font, Anamaría
Herráez, Alvaro
Ibañez Santiago, Luis Enrique
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Física Teórica
Facultad de Ciencias
dc.subject.none.fl_str_mv Inflation
Supergravity
Cosmos
Física
topic Inflation
Supergravity
Cosmos
Física
description We conjecture that in a consistent supergravity theory with non-vanishing gravitino mass, the limit m3/2 → 0 is at infinite distance. In particular one can write Mtower ~ m3/2δ so that as the gravitino mass goes to zero, a tower of KK states as well as emergent strings becomes tensionless. This conjecture may be motivated from the Weak Gravity Conjecture as applied to strings and membranes and implies in turn the AdS Distance Conjecture. We test this proposal in classical 4d type IIA orientifold vacua in which one obtains a range of values 1/3 ≤ δ ≤ 1. The parameter δ is related to the scale decoupling exponent in AdS vacua and to the α exponent in the Swampland Distance Conjecture for the type IIA complex structure. We present a general analysis of the gravitino mass in the limits of moduli space in terms of limiting Mixed Hodge Structures and study in some detail the case of two-moduli F-theory settings. Moreover, we obtain general lower bounds δ ≥ 1/3,1/4 for Calabi-Yau threefolds and fourfolds, respectively. The conjecture has important phenomenological implications. In particular we argue that low-energy supersymmetry of order 1 TeV is only obtained if there is a tower of KK states at an intermediate scale, of order 108 GeV. One also has an upper bound for the Hubble constant upon inflation H ≲ m3/2δMP(1−δ)
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-08-18
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/10486/704994
https://dx.doi.org/10.1007/JHEP08(2021)092
url http://hdl.handle.net/10486/704994
https://dx.doi.org/10.1007/JHEP08(2021)092
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
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
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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