Fluxes, vacua, and tadpoles meet Landau-Ginzburg and Fermat

Abstract Type IIB flux vacua based on Landau-Ginzburg models without Kähler deformations provide fully-controlled insights into the non-geometric and strongly-coupled string landscape. We show here that supersymmetric flux configurations at the Fermat point of the 19 model, which were found long-tim...

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Main Authors: Katrin Becker, Eduardo Gonzalo, Johannes Walcher, Timm Wrase
Format: Article
Language:English
Published: SpringerOpen 2022-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2022)083
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author Katrin Becker
Eduardo Gonzalo
Johannes Walcher
Timm Wrase
author_facet Katrin Becker
Eduardo Gonzalo
Johannes Walcher
Timm Wrase
author_sort Katrin Becker
collection DOAJ
description Abstract Type IIB flux vacua based on Landau-Ginzburg models without Kähler deformations provide fully-controlled insights into the non-geometric and strongly-coupled string landscape. We show here that supersymmetric flux configurations at the Fermat point of the 19 model, which were found long-time ago to saturate the orientifold tadpole, leave a number of massless fields, which however are not all flat directions of the superpotential at higher order. More generally, the rank of the Hessian of the superpotential is compatible with a suitably formulated tadpole conjecture for all fluxes that we found. Moreover, we describe new infinite families of supersymmetric 4d N $$ \mathcal{N} $$ = 1 Minkowski and AdS vacua and confront them with several other swampland conjectures.
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spelling doaj.art-4da95aa4fed4481784224207281004672023-03-26T11:04:39ZengSpringerOpenJournal of High Energy Physics1029-84792022-12-0120221213110.1007/JHEP12(2022)083Fluxes, vacua, and tadpoles meet Landau-Ginzburg and FermatKatrin Becker0Eduardo Gonzalo1Johannes Walcher2Timm Wrase3George P. and Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M UniversityDepartment of Physics, Lehigh UniversityMathematical Institute and Institute for Theoretical Physics, Ruprecht-Karls-Universität HeidelbergDepartment of Physics, Lehigh UniversityAbstract Type IIB flux vacua based on Landau-Ginzburg models without Kähler deformations provide fully-controlled insights into the non-geometric and strongly-coupled string landscape. We show here that supersymmetric flux configurations at the Fermat point of the 19 model, which were found long-time ago to saturate the orientifold tadpole, leave a number of massless fields, which however are not all flat directions of the superpotential at higher order. More generally, the rank of the Hessian of the superpotential is compatible with a suitably formulated tadpole conjecture for all fluxes that we found. Moreover, we describe new infinite families of supersymmetric 4d N $$ \mathcal{N} $$ = 1 Minkowski and AdS vacua and confront them with several other swampland conjectures.https://doi.org/10.1007/JHEP12(2022)083Flux CompactificationsSuperstring Vacua
spellingShingle Katrin Becker
Eduardo Gonzalo
Johannes Walcher
Timm Wrase
Fluxes, vacua, and tadpoles meet Landau-Ginzburg and Fermat
Journal of High Energy Physics
Flux Compactifications
Superstring Vacua
title Fluxes, vacua, and tadpoles meet Landau-Ginzburg and Fermat
title_full Fluxes, vacua, and tadpoles meet Landau-Ginzburg and Fermat
title_fullStr Fluxes, vacua, and tadpoles meet Landau-Ginzburg and Fermat
title_full_unstemmed Fluxes, vacua, and tadpoles meet Landau-Ginzburg and Fermat
title_short Fluxes, vacua, and tadpoles meet Landau-Ginzburg and Fermat
title_sort fluxes vacua and tadpoles meet landau ginzburg and fermat
topic Flux Compactifications
Superstring Vacua
url https://doi.org/10.1007/JHEP12(2022)083
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AT eduardogonzalo fluxesvacuaandtadpolesmeetlandauginzburgandfermat
AT johanneswalcher fluxesvacuaandtadpolesmeetlandauginzburgandfermat
AT timmwrase fluxesvacuaandtadpolesmeetlandauginzburgandfermat