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The Infinitesimal Moduli Space of Heterotic G 2 Systems

The Infinitesimal Moduli Space of Heterotic G 2 Systems

Heterotic string compactifications on integrable G 2 structure manifolds Y with instanton bundles $${(V,A), (TY,\tilde{\theta})}$$ yield supersymmetric three-dimensional vacua that are of interest in physics. In this paper, we define a covariant exterior derivative $${\mathcal{D}}$$ and show that it is equivalent to a heterotic G 2 system encoding the geometry …