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The heterotic $G_2$ moduli space metric
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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.
Forward citations
Cited by 2 Pith papers
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Stringy Corrections to Heterotic SU(3)-Geometry
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.
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Universal geometry as an organising principle for heterotic moduli
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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