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Author

B. Brongers

4 papers indexed here

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Preprint Sep 2026

Chain-level decoupling of the physical heterotic $G_2$ deformation complex at the standard embedding

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...

B. Brongers · 0 citations
Preprint Sep 2026

Derived deformation theory of heterotic $G_2$ systems near the standard embedding

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...

B. Brongers · 0 citations
Preprint Oct 2026

Cyclic $L_3$ Models and Holomorphic Reduction in Heterotic $G_2$ Deformation Theory

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...

B. Brongers · 0 citations
Preprint Sep 2026

Derived deformation theory of heterotic $G_2$ systems near the standard embedding

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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