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Bibliographic Details
Main Author: Moritz, Jakob
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2505.15883
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author Moritz, Jakob
author_facet Moritz, Jakob
contents We argue that perturbatively flat vacua (PFVs) introduced in \cite{Demirtas:2019sip} are dual to M-theory compactifications on $G_2$-manifolds, enabling the enumeration of potentially novel $G_2$-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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_15883
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle $G_2$-manifolds from Diophantine equations
Moritz, Jakob
High Energy Physics - Theory
We argue that perturbatively flat vacua (PFVs) introduced in \cite{Demirtas:2019sip} are dual to M-theory compactifications on $G_2$-manifolds, enabling the enumeration of potentially novel $G_2$-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.
title $G_2$-manifolds from Diophantine equations
topic High Energy Physics - Theory
url https://arxiv.org/abs/2505.15883