Properties Of Heterotic Vacua From Superpotentials

TL;DR

This paper investigates the superpotential in heterotic string compactifications on non-Kahler manifolds, revealing how it encodes geometric properties and torsional constraints, and providing estimates for moduli stabilization.

Contribution

It introduces a superpotential framework that captures geometric and torsional features of heterotic non-Kahler compactifications, offering new insights into their moduli.

Findings

Superpotential encodes geometric properties of non-Kahler manifolds

Estimate of the radial modulus of these manifolds

Derivation of torsional constraints from the superpotential

Abstract

We study the superpotential for the heterotic string compactified on non-Kahler complex manifolds. We show that many of the geometrical properties of these manifolds can be understood from the proposed superpotential. In particular we give an estimate of the radial modulus of these manifolds. We also show, how the torsional constraints can be obtained from this superpotential.