Finite deformations from a heterotic superpotential: holomorphic Chern-Simons and an L ∞ algebra

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Abstract

We consider finite deformations of the Hull-Strominger system. Starting from the heterotic superpotential, we identify complex coordinates on the off-shell parameter space. Expanding the superpotential around a supersymmetric vacuum leads to a thirdorder Maurer-Cartan equation that controls the moduli. The resulting complex effective action generalises that of both Kodaira-Spencer and holomorphic Chern-Simons theory. The supersymmetric locus of this action is described by an L3 algebra.

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Ashmore, A., de la Ossa, X., Minasian, R., Strickland-Constable, C., & Svanes, E. E. (2018). Finite deformations from a heterotic superpotential: holomorphic Chern-Simons and an L ∞ algebra. Journal of High Energy Physics, 2018(10). https://doi.org/10.1007/JHEP10(2018)179

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