Heterotic Flux Attractors

TL;DR

This paper derives attractor equations for moduli stabilization in heterotic string compactifications with SU(3)-structure, using a novel approach that encodes vacuum data in flux-dependent generating functions.

Contribution

It introduces a new framework for describing moduli stabilization in heterotic flux compactifications using SU(3)xSU(3)-structure and generating functions.

Findings

Derived explicit attractor equations for heterotic flux vacua.

Unified treatment of complex structure and Kähler moduli.

Provided an explicit example illustrating the method.

Abstract

We find attractor equations describing moduli stabilization for heterotic compactifications with generic SU(3)-structure. Complex structure and K\"ahler moduli are treated on equal footing by using SU(3)xSU(3)-structure at intermediate steps. All independent vacuum data, including VEVs of the stabilized moduli, is encoded in a pair of generating functions that depend on fluxes alone. We work out an explicit example that illustrates our methods.