Classical scale-separated AdS$_3$ vacua in heterotic string theory

TL;DR

This paper presents the first explicit heterotic string compactifications yielding scale-separated AdS$_3$ vacua with stabilized moduli, weak coupling, and large volume, advancing the understanding of string theory landscapes.

Contribution

It constructs the first scale-separated AdS$_3$ solutions in heterotic string theory with all moduli stabilized and controlled in a large-flux limit.

Findings

AdS$_3$ vacua with parametric scale separation

All geometric moduli stabilized

Solutions with weak coupling and large volume

Abstract

We provide the first scale-separated AdS solutions from compactifications of the heterotic string. Our solutions have parametrically weak coupling, large volume, and the internal KK scale is parametrically smaller than the AdS length. These AdS$_3$ vacua preserve $\mathcal{N}=1$ supersymmetry and arise from compactifications on $G_2$ structure manifolds with $H$ flux and (smeared) gravitational instantons. All geometric moduli are stabilized, fluxes quantized, and the solutions are parametrically controlled in an appropriate large-flux limit.