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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Format: | Article |
Language: | English |
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SpringerOpen
2021-10-01
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Series: | Journal of High Energy Physics |
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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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institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
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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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