Supersymmetric Self-Gravitating Solitons

TL;DR

This paper demonstrates that certain supersymmetric solitons in Yang-Mills theories remain exact, stable, and saturate energy bounds even when coupled with gravity and other interactions, highlighting their robustness and supersymmetric nature.

Contribution

It shows that supersymmetric self-gravitating solitons are exact solutions that persist with non-minimal interactions, extending their stability and energy saturation properties.

Findings

Self-gravitating solitons are exact and stable with non-minimal interactions.

These solitons saturate a gravitational Bogomol'nyi bound.

Supersymmetry ensures the persistence of these solutions.

Abstract

We show that the `instantonic' soliton of five-dimensional Yang-Mills theory and the closely related BPS monopole of four-dimensional Yang-Mills/Higgs theory continue to be exact static, and stable, solutions of these field theories even after the inclusion of gravitational, electromagnetic and, in the four-dimensional case, dilatonic interactions, provided that certain non-minimal interactions are included. With the inclusion of these interactions, which would be required by supersymmetry, these exact self-gravitating solitons saturate a gravitational version of the Bogomol'nyi bound on the energy of an arbitrary field configuration.