Enhanced Symmetries in Multiparameter Flux Vacua

Abstract

We give a construction of type IIB flux vacua with discrete R-symmetries and vanishing superpotential for hypersurfaces in weighted projective space with any number of moduli. We find that the existence of such vacua for a given space depends on properties of the modular group, and for Fermat models can be determined solely by the weights of the projective space. The periods of the geometry do not in general have arithmetic properties, but live in a vector space whose properties are vital to the construction.

32 pages, LaTeX. v2: references added

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• New Attractors and Area Codes
• Moduli Stabilization in Non-Geometric Backgrounds
• Discrete Gauge Symmetries in Discrete MSSM-like Orientifolds
• Moduli-dependent Species Scale
• Supersymmetric Flux Compactifications and Calabi-Yau Modularity
• Continuous degeneracy of non-supersymmetric vacua
• Flux Vacua and Modularity for ${\mathbb{Z}}_2$ Symmetric Calabi-Yau Manifolds
• On the Search for Low $W_0$
• Flux Modularity, F-Theory, and Rational Models
• Revisiting arithmetic solutions to the $W=0$ condition
• String-theory Realization of Modular Forms for Elliptic Curves with Complex Multiplication
• W=0 Complex Structure Moduli Stabilization on CM-type K3 x K3 Orbifolds:---Arithmetic, Geometry and Particle Physics---
• A formal notion of genericity and term-by-term vanishing superpotentials at supersymmetric vacua from R-symmetric Wess-Zumino models
• Investigating the Stability of a Nonsupersymmetric Landscape
• Novel counterexample to the Nelson-Seiberg theorem