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The heterotic $G_2$ moduli space metric

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arxiv 2502.16093 v1 pith:GOGM56YQ submitted 2025-02-22 hep-th

classification hep-th
keywords heteroticalphacorrectionmetricmodulispacearticlebackground
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abstract

In this article we dimensionally reduce a heterotic supergravity on a $G_2$ background with Minkowski spacetime using a certain cohomology as a basis for the Kaluza-Klein expansion, up to and including first order in $\alpha'$. We construct the moduli space heterotic $G_2$ compactifications. The $\alpha'$-correction induces a curvature correction to the Weyl-Peterson metric. In the limit in which the $G_2$ manifold reduces to $SU(3)$, we recover known results.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dimensional Reduction and K\"ahler Metric for Metric Moduli in Imaginary Self-Dual Flux

    hep-th 2025-01 conditional novelty 7.0 of 10

    A 10D supergravity reduction derives the 4D moduli space metric for Kähler moduli and, for the first time, for complex structure flat directions in warped type IIB flux compactifications.

  2. Stringy Corrections to Heterotic SU(3)-Geometry

    hep-th 2025-07 accept novelty 6.0 of 10

    At second order in alpha', heterotic SU(3) compactifications with a smooth large-radius limit obey the same complex geometric equations as Strominger's first-order system, and the Hull connection is not an instanton.

  3. Universal geometry as an organising principle for heterotic moduli

    hep-th 2026-06 unverdicted novelty 4.0 of 10

    Universal geometry is shown to be consistent with the alpha'^2-corrected heterotic supersymmetry equations when the composite Hull connection is used as the universal tangent-bundle connection.

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