Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture

We study quantum corrections in four-dimensional theories with N = 1 supersymmetry in the context of Quantum Gravity Conjectures. According to the Emergent String Conjecture, infinite distance limits in quantum gravity either lead to decompactification of the theory or result in a weakly coupled str...

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Detalhes bibliográficos
Autores: Klaewer, Daniel, Lee, Seung Joo, Weigand, Timo, Wiesner, Max
Formato: artículo
Fecha de publicación:2021
País:España
Recursos:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/704871
Acesso em linha:http://hdl.handle.net/10486/704871
https://dx.doi.org/10.1007/JHEP03(2021)252
Access Level:acceso abierto
Palavra-chave:Inflation
Supergravity
Cosmos
Física
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spelling Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjectureKlaewer, DanielLee, Seung JooWeigand, TimoWiesner, MaxInflationSupergravityCosmosFísicaWe study quantum corrections in four-dimensional theories with N = 1 supersymmetry in the context of Quantum Gravity Conjectures. According to the Emergent String Conjecture, infinite distance limits in quantum gravity either lead to decompactification of the theory or result in a weakly coupled string theory. We verify this conjecture in the framework of N = 1 supersymmetric F-theory compactifications to four dimensions including perturbative α′ as well as non-perturbative corrections. After proving uniqueness of the emergent critical string at the classical level, we show that quantum corrections obstruct precisely those limits in which the scale of the emergent critical string would lie parametrically below the Kaluza-Klein scale. Limits in which the tension of the asymptotically tensionless string sits at the Kaluza-Klein scale, by contrast, are not obstructed. In the second part of the paper we study the effect of quantum corrections for the Weak Gravity Conjecture away from the strict weak coupling limit. We propose that gauge threshold corrections and mass renormalisation effects modify the super-extremality bound in four dimensions. For the infinite distance limits in F-theory the classical super-extremality bound is generically satisfied by a sublattice of states in the tower of excitations of an emergent heterotic string. By matching the F-theory α′-corrections to gauge threshold corrections of the dual heterotic theory we predict how the masses of this tower must be renormalised in order for the Weak Gravity Conjecture to hold at the quantum levelSpringerDepartamento de Física TeóricaFacultad de Ciencias20212021-03-26research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/704871https://dx.doi.org/10.1007/JHEP03(2021)252reponame: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:10486/7048712026-06-23T12:46:27Z
dc.title.none.fl_str_mv Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture
title Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture
spellingShingle Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture
Klaewer, Daniel
Inflation
Supergravity
Cosmos
Física
title_short Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture
title_full Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture
title_fullStr Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture
title_full_unstemmed Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture
title_sort Quantum corrections in 4d N = 1 infinite distance limits and the weak gravity conjecture
dc.creator.none.fl_str_mv Klaewer, Daniel
Lee, Seung Joo
Weigand, Timo
Wiesner, Max
author Klaewer, Daniel
author_facet Klaewer, Daniel
Lee, Seung Joo
Weigand, Timo
Wiesner, Max
author_role author
author2 Lee, Seung Joo
Weigand, Timo
Wiesner, Max
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 study quantum corrections in four-dimensional theories with N = 1 supersymmetry in the context of Quantum Gravity Conjectures. According to the Emergent String Conjecture, infinite distance limits in quantum gravity either lead to decompactification of the theory or result in a weakly coupled string theory. We verify this conjecture in the framework of N = 1 supersymmetric F-theory compactifications to four dimensions including perturbative α′ as well as non-perturbative corrections. After proving uniqueness of the emergent critical string at the classical level, we show that quantum corrections obstruct precisely those limits in which the scale of the emergent critical string would lie parametrically below the Kaluza-Klein scale. Limits in which the tension of the asymptotically tensionless string sits at the Kaluza-Klein scale, by contrast, are not obstructed. In the second part of the paper we study the effect of quantum corrections for the Weak Gravity Conjecture away from the strict weak coupling limit. We propose that gauge threshold corrections and mass renormalisation effects modify the super-extremality bound in four dimensions. For the infinite distance limits in F-theory the classical super-extremality bound is generically satisfied by a sublattice of states in the tower of excitations of an emergent heterotic string. By matching the F-theory α′-corrections to gauge threshold corrections of the dual heterotic theory we predict how the masses of this tower must be renormalised in order for the Weak Gravity Conjecture to hold at the quantum level
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-03-26
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/10486/704871
https://dx.doi.org/10.1007/JHEP03(2021)252
url http://hdl.handle.net/10486/704871
https://dx.doi.org/10.1007/JHEP03(2021)252
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
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