On Flux Vacua and Modularity

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2020-09

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Springer

Abstract

Geometric modularity has recently been conjectured to be a characteristic feature for 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 mani-folds which do not admit supersymmetric flux vacua shows that the reverse of the conjecture does not hold.

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Schimmrigk, Rolf K. “On Flux Vacua and Modularity.” Journal of High Energy Physics 09: September 2020.

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Article