# Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_\infty$ algebra

## Author:

Ashmore, A
Ossa, X
Minasian, R
Strickland-Constable, C
Svanes, E

29 October 2018

## Journal:

Journal of High Energy Physics

## Last Updated:

2020-10-27T02:52:55.507+00:00

10

2018

## DOI:

10.1007/JHEP10(2018)179

## 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.

910065

Submitted

Journal Article