Dynamical Cobordism and Swampland Distance Conjectures

Abstract We consider spacetime-dependent solutions to string theory models with tadpoles for dynamical fields, arising from non-trivial scalar potentials. The solutions have necessarily finite extent in spacetime, and are capped off by boundaries at a finite distance, in a dynamical realization of t...

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Main Authors: Ginevra Buratti, José Calderón-Infante, Matilda Delgado, Angel M. Uranga
Format: Article
Language:English
Published: SpringerOpen 2021-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP10(2021)037
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author Ginevra Buratti
José Calderón-Infante
Matilda Delgado
Angel M. Uranga
author_facet Ginevra Buratti
José Calderón-Infante
Matilda Delgado
Angel M. Uranga
author_sort Ginevra Buratti
collection DOAJ
description Abstract We consider spacetime-dependent solutions to string theory models with tadpoles for dynamical fields, arising from non-trivial scalar potentials. The solutions have necessarily finite extent in spacetime, and are capped off by boundaries at a finite distance, in a dynamical realization of the Cobordism Conjecture. We show that as the configuration approaches these cobordism walls of nothing, the scalar fields run off to infinite distance in moduli space, allowing to explore the implications of the Swampland Distance Conjecture. We uncover new interesting scaling relations linking the moduli space distance and the SDC tower scale to spacetime geometric quantities, such as the distance to the wall and the scalar curvature. We show that walls at which scalars remain at finite distance in moduli space correspond to domain walls separating different (but cobordant) theories/vacua; this still applies even if the scalars reach finite distance singularities in moduli space, such as conifold points. We illustrate our ideas with explicit examples in massive IIA theory, M-theory on CY threefolds, and 10d non-supersymmetric strings. In 4d N $$ \mathcal{N} $$ = 1 theories, our framework reproduces a recent proposal to explore the SDC using 4d string-like solutions.
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spelling doaj.art-15a52a9e765340899e983a0d407a7cb02022-12-21T19:29:48ZengSpringerOpenJournal of High Energy Physics1029-84792021-10-0120211012810.1007/JHEP10(2021)037Dynamical Cobordism and Swampland Distance ConjecturesGinevra Buratti0José Calderón-Infante1Matilda Delgado2Angel M. Uranga3Instituto de Física Teórica IFT-UAM/CSICInstituto de Física Teórica IFT-UAM/CSICInstituto de Física Teórica IFT-UAM/CSICInstituto de Física Teórica IFT-UAM/CSICAbstract We consider spacetime-dependent solutions to string theory models with tadpoles for dynamical fields, arising from non-trivial scalar potentials. The solutions have necessarily finite extent in spacetime, and are capped off by boundaries at a finite distance, in a dynamical realization of the Cobordism Conjecture. We show that as the configuration approaches these cobordism walls of nothing, the scalar fields run off to infinite distance in moduli space, allowing to explore the implications of the Swampland Distance Conjecture. We uncover new interesting scaling relations linking the moduli space distance and the SDC tower scale to spacetime geometric quantities, such as the distance to the wall and the scalar curvature. We show that walls at which scalars remain at finite distance in moduli space correspond to domain walls separating different (but cobordant) theories/vacua; this still applies even if the scalars reach finite distance singularities in moduli space, such as conifold points. We illustrate our ideas with explicit examples in massive IIA theory, M-theory on CY threefolds, and 10d non-supersymmetric strings. In 4d N $$ \mathcal{N} $$ = 1 theories, our framework reproduces a recent proposal to explore the SDC using 4d string-like solutions.https://doi.org/10.1007/JHEP10(2021)037Flux compactificationsSuperstring VacuaSupersymmetry Breaking
spellingShingle Ginevra Buratti
José Calderón-Infante
Matilda Delgado
Angel M. Uranga
Dynamical Cobordism and Swampland Distance Conjectures
Journal of High Energy Physics
Flux compactifications
Superstring Vacua
Supersymmetry Breaking
title Dynamical Cobordism and Swampland Distance Conjectures
title_full Dynamical Cobordism and Swampland Distance Conjectures
title_fullStr Dynamical Cobordism and Swampland Distance Conjectures
title_full_unstemmed Dynamical Cobordism and Swampland Distance Conjectures
title_short Dynamical Cobordism and Swampland Distance Conjectures
title_sort dynamical cobordism and swampland distance conjectures
topic Flux compactifications
Superstring Vacua
Supersymmetry Breaking
url https://doi.org/10.1007/JHEP10(2021)037
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