Topological Phases of the Heterotic String

TL;DR

This paper explores the phase structure of topological Calabi-Yau manifolds in the context of heterotic string theory, revealing new phases where certain moduli are stabilized, and discusses implications for non-Kähler manifolds.

Contribution

It introduces a novel analysis of topological phases in heterotic string theory via Calabi-Yau manifolds and their moduli space, highlighting new vacua with lifted flat directions.

Findings

Topological vacua correspond to new phases of heterotic string theory.

Flat directions for complex deformations are lifted in these phases.

Brief discussion on phase structure of non-Kähler manifolds.

Abstract

We analyze the phase structure of topological Calabi--Yau manifolds defined on the moduli space of instantons. We show in this framework that topological vacua describe new phases of the Heterotic String theory in which the flat directions corresponding to complex deformations are lifted. We also briefly discuss the phase structure of non--K\"ahler manifolds.