The physical deformation complex of heterotic $G_2$ compactifications couples instanton deformations to geometric fields and their first-order $\alpha'$ corrections. We give an explicit chain-level decoupling of its first-order coefficient complex at the minimal standard embedding, where the gauge bundle is the tangent...
We study heterotic $G_2$ structures near a torsion-free standard embedding, to first order in $\alpha'$ and to all orders in formal deformations. The tangent connection is the Hull connection determined by the metric and flux. We construct a locally invertible family of differential operators relating the supersymmetry...
We construct a finite cyclic $L_3$ presentation (that is, a cyclic $L_\infty$ algebra with brackets vanishing above arity three) of the variational deformation theory defined by the heterotic $G_2$ superpotential near a torsion-free standard embedding, to first order in $\alpha'$. Auxiliary fields for the inverse cofra...
We study heterotic $G_2$ structures on a fixed string Courant algebroid on a spin seven-manifold $Y$, near a torsion-free standard embedding, to first order in $\alpha'$ and to all formal orders in the deformations. The admissible metric, spinor line and density determine a canonical generalized Dirac functional whose...
B. Brongers· 0 citations
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