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

Type IIB flux vacua based on Landau-Ginzburg models without Kahler de-formations provide fully-controlled insights into the non-geometric and strongly-coupledstring landscape. We show here that supersymmetric flux configurations at the Fermatpoint of the19model, 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 super-potential at higher order. More generally, the rank of the Hessian of the superpotentialis compatible with a suitably formulated tadpole conjecture for all fluxes that we found.Moreover, we describe new infinite families of supersymmetric 4d N= 1 Minkowski andAdS vacua and confront them with several other swampland conjectures.

Automated summary

This article investigates Type IIB flux vacua based on Landau-Ginzburg models, providing insights into non-geometric and strongly-coupled string landscapes. By studying supersymmetric flux configurations, it is found that there are massless fields that are not all flat directions of the super-potential at higher order. Additionally, new supersymmetric 4d N = 1 Minkowski and AdS vacua are described and compared with other swampland conjectures.