Brane Profiles of Non-Supersymmetric Strings

TL;DR

This paper derives exact spacetime profiles for uncharged branes in non-supersymmetric string theories, linking 2D CFT indications to physical solutions while analyzing their large-distance behavior and back-reaction effects.

Contribution

It provides the first exact solutions for uncharged branes in non-supersymmetric string vacua, connecting CFT predictions to spacetime profiles and exploring their asymptotic behavior.

Findings

Exact solutions for uncharged branes in Dudas-Mourad vacua.

Large-distance behavior consistent with CFT analysis.

Insights into back-reaction of form-fields on brane profiles.

Abstract

We connect the indications of 2D CFT for branes in non-supersymmetric strings to actual spacetime profiles, taking the bulk tadpole potentials into account. We find exact solutions for the uncharged branes that spread in the internal intervals of Dudas-Mourad vacua for non-tachyonic orientifolds and heterotic strings. These solutions involve suitable dressings of the uncharged branes of the nine-dimensional tadpole-free theory. Similar exact results for uncharged branes that are transverse to the internal space, or for charged branes, appear more challenging. Nevertheless, we identify their large-distance behavior, which is determined by linearized equations, and show that it is compatible with the CFT analysis in all expected cases. We also provide some hints on the leading back-reaction of the form-fields.