G₂-manifolds from Diophantine equations

2025/05/21 by Jakob Moritz, Moritz, Jakob · 2 citations
Mathematics · #FOS: Physical sciences #Geometric and Algebraic Topology #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2505.15883

openalex publication_date 2025/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We argue that perturbatively flat vacua (PFVs) introduced in \citeDemirtas:2019sip are dual to M-theory compactifications on G₂-manifolds, enabling the enumeration of potentially novel G₂-manifolds via solutions to Diophantine equations in type IIB flux quanta. Independently, we show that warping corrections to the effective action of type IIB flux vacua grow parametrically at large complex structure, and we demonstrate that these corrections can nonetheless be captured by a classical geometric computation in M-theory.

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