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New $G_2$-conifolds in $M$-theory and their Field Theory Interpretation

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arxiv 2011.06998 v1 pith:YEBDAJNY submitted 2020-11-13 hep-th math.DG

classification hep-thmath.DG
keywords theoryholonomyaffirmativelyappearsbackgroundbundlescalabi-yaucarried
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abstract

A recent theorem of Foscolo-Haskins-Nordstr\"om which constructs complete $G_2$-holonomy orbifolds from circle bundles over Calabi-Yau cones can be utilised to construct and investigate a large class of generalisations of the $M$-theory flop transition. We see that in many cases a UV perturbative gauge theory appears to have an infrared dual described by a smooth $G_2$-holonomy background in $M$-theory. Various physical checks of this proposal are carried out affirmatively.

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Cited by 1 Pith paper

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  1. Warped G$_2$-throats in IIA and uplift dSillusions

    hep-th 2025-05 conditional novelty 6.0 of 10

    Anti-D2 brane uplifting of classical AdS3 vacua in IIA on G2 orientifolds is forbidden by O6 tadpole constraints, so dS3 must rely on quantum corrections to no-scale Minkowski vacua.

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