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arXiv · 2001.06022

Supersymmetric Flux Compactifications and Calabi-Yau Modularity

Shamit Kachru·Richard Nally·Wenzhe Yang
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Abstract

Flux compactification of IIB string theory associates special points in Calabi-Yau moduli space to choices of (pairs of) integral three-form fluxes. In this paper, we propose that supersymmetric flux vacua are modular. That is, to a supersymmetric flux vacuum arising in a variety defined over $\mathbb{Q}$, we associate a two-dimensional Galois representation that we conjecture to be modular. We provide numerical evidence for our conjecture by examining flux vacua arising on the octic hypersurface in $\mathbb{P}^{4}(1,1,2,2,2)$.

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Shamit Kachru, Richard Nally, Wenzhe Yang. 2020-01-16. Supersymmetric Flux Compactifications and Calabi-Yau Modularity. https://arxiv.org/abs/2001.06022

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