On the marginal deformations of general (0,2) non-linear sigma-models

Abstract

In this note we explore the possible marginal deformations of general (0,2) non-linear sigma-models, which arise as descriptions of the weakly-coupled (large radius) limits of four-dimensional $\mathcal{N}=1$ compactifications of the heterotic string, to lowest order in ${\alpha }^{\prime }$ and first order in conformal perturbation theory. The results shed light from the world-sheet perspective on the classical moduli space of such compactifications. This is a contribution to the proceedings of String-Math 2012.

LaTeX2e, 11 pages, no figures, published in Proc.Symp.Pure Math. 90 (2015) 171-179