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Balanced and Aeppli Parameters for the Heterotic Moduli
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Balanced and Aeppli Parameters for the Heterotic Moduli
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In this paper, we fix the complex structure and explore the moduli space of the heterotic system by considering two different yet "dual" deformation paths starting from a K\"ahler solution. They correspond to deformation along the Bott-Chern cohomology class and the Aeppli cohomology class respectively. Using the implicit function theorem, we prove the local existence of heterotic solutions along these two paths and hence establish an initial step to construct local moduli coordinates around a K\"ahler solution.
Forward citations
Cited by 2 Pith papers
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Heterotic moduli, the double extension and the alpha'^2 metric
The heterotic moduli-space metric picks up a torsion-induced complex-structure–hermitian mixing term at order α'^2, while the Kähler potential keeps its functional form.
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The Aeppli Parameter for the Heterotic Moduli
Near a Kähler point, solutions of the 3-fold Hull–Strominger system are locally parameterized by the Aeppli cohomology class, with no auxiliary gauge connection, matching the Bott–Chern dimension.
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