2000 character limit reached
Ricci Flat Metrics, Flat Connections and $G_{2}$-Manifolds (2312.12311v1)
Published 19 Dec 2023 in hep-th and math.DG
Abstract: Inspired by considerations in $M$-theory, we prove the equivalence between the moduli spaces of (suitably complexified) torsion free $G_{2}$-structures on 7-manifolds which are families of hyperK\"ahler ALE 4-manifolds fibered over compact flat 3-manifolds $T{3}/K$ and certain moduli spaces of flat $G{\mathbb{C}}_{ADE}$ connections on $T{3}/K$.
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