Moduli Space of Torsional Manifolds

TL;DR

This paper studies the geometric moduli of non-Kaehler manifolds with torsion, focusing on flux compactifications in heterotic string theory, and explicitly characterizes metric deformations of specific flux solutions.

Contribution

It derives the equations governing local moduli of torsional manifolds and explicitly analyzes metric deformations of a torus bundle over K3 in flux compactifications.

Findings

Derived linearized constraints for moduli of torsional manifolds

Explicitly characterized metric deformations of flux solutions

Connected geometric moduli to heterotic flux compactifications

Abstract

We characterize the geometric moduli of non-Kaehler manifolds with torsion. Heterotic supersymmetric flux compactifications require that the six-dimensional internal manifold be balanced, the gauge bundle be hermitian Yang-Mills, and also the anomaly cancellation be satisfied. We perform the linearized variation of these constraints to derive the defining equations for the local moduli. We explicitly determine the metric deformations of the smooth flux solution corresponding to a torus bundle over K3.