Smooth String Vacua in a Gravitationally Non-perturbative Regime

TL;DR

This paper investigates non-perturbative effects in strongly coupled heterotic string vacua, revealing a resolution of singularities and a connection to Anti-de Sitter spaces, with implications for brane-world models.

Contribution

It provides a closed-form computation of non-perturbative corrections in a strong coupling regime using modular invariance, and demonstrates a smooth interpolation between branes and AdS vacua.

Findings

Resolution of a strong coupling singularity

Explicit non-perturbative corrections derived

Realization of a Randall-Sundrum-like scenario

Abstract

The strong coupling regime of four-dimensional N=2 supersymmetric vacua of the heterotic string is analyzed from a dual domain wall perspective. Using modular invariance, we compute a closed form for the non-perturbative corrections to the supersymmetric domain wall equations, which enables a quantitative study of gravitational strong coupling regimes. A strong coupling singularity for the hidden Horava-Witten 9-brane is resolved, and the domain wall interpolates between the visible 9-brane and a supersymmetric Anti-de Sitter vacuum, thereby realizing a variant of the Randall-Sundrum model.