On flux vacua and modularity

Abstract

Abstract Geometric modularity has recently been conjectured to be a characteristic feature of flux vacua with W = 0. This paper provides support for the conjecture by computing motivic modular forms in a direct way for several string compactifications for which such vacua are known to exist. The analysis of some Calabi-Yau manifolds which do not admit supersymmetric flux vacua shows that the reverse of the conjecture does not hold.

Keywords

• Flux compactifications
• Superstring Vacua
• Discrete Symmetries