Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_\infty$ algebra
High Energy Physics - Theory
2022-02-04 v1 Mathematical Physics
Differential Geometry
math.MP
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 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 algebra.
Keywords
Cite
@article{arxiv.1806.08367,
title = {Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_\infty$ algebra},
author = {Anthony Ashmore and Xenia de la Ossa and Ruben Minasian and Charles Strickland-Constable and Eirik Eik Svanes},
journal= {arXiv preprint arXiv:1806.08367},
year = {2022}
}
Comments
65 pages, including 5 appendices