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 $1^9$ 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.

37 pages, 1 figure; v2: corrected factor of 2 with respect to tadpole conjecture

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Cited by in corpus (7)

• Mass spectrum of type IIB flux compactifications -- comments on AdS vacua and conformal dimensions
• On Asymptotic Dark Energy in String Theory
• Stabilizing massless fields with fluxes in Landau-Ginzburg models
• Fully stabilized Minkowski vacua in the $2^6$ Landau-Ginzburg model
• Tadpole conjecture in non-geometric backgrounds
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Stabilization of a twisted modulus on a mirror of rigid Calabi-Yau manifold