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

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Anthony Ashmore, Xenia de la Ossa, Ruben Minasian, Charles Strickland-Constable, Eirik Eik Svanes

Original languageEnglish
Number of pages65
JournalJournal of High Energy Physics
Accepted/In press18 Oct 2018
Published29 Nov 2018


King's Authors


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 third-order 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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