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arXiv · 2210.03706

Fluxes, Vacua, and Tadpoles meet Landau-Ginzburg and Fermat

Katrin Becker·Eduardo Gonzalo·Johannes Walcher·Timm Wrase
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Abstract

Type IIB flux vacua based on Landau-Ginzburg models without K\"ahler 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 $1^9$ 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 $\mathcal{N}=1$ Minkowski and AdS vacua and confront them with several other swampland conjectures.

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Katrin Becker, Eduardo Gonzalo, Johannes Walcher, Timm Wrase. 2022-10-07. Fluxes, Vacua, and Tadpoles meet Landau-Ginzburg and Fermat. https://doi.org/10.1007/jhep12(2022)083

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