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...