Finite deformations from a heterotic superpotential: holomorphic Chern-Simons and an L∞ algebra
Author
Ashmore, Anthony
de la Ossa, Xenia
Minasian, Ruben
Strickland-Constable, Charles
Svanes, Eirik Eik
Attention
2299/20917
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.