Mass Formula of a Five-dimensional Almost-BPS Supergravity Soliton with a Magnetic "Bolt"

TL;DR

This paper derives a mass formula for a five-dimensional supergravity spacetime with a magnetic bolt, analyzing how topology and holonomy affect supersymmetry breaking and BPS-bound violation.

Contribution

It presents the first derivation of a Smarr formula for a five-dimensional almost-BPS supergravity soliton with a magnetic bolt, highlighting topological influences.

Findings

Topological features contribute to the mass formula.

Holonomy breaks supersymmetry and affects the BPS-bound.

The derived formula explains BPS-bound violations.

Abstract

We derive the Smarr formula for a five-dimensional spacetime which has a magnetic "bolt" in its center and is asymptotically R^(3,1) x S^1. Supersymmetry - and so the BPS-bound - is broken by the holonomy. We show how each topological feature of a space-like hypersurface enters the mass formula and which ones in particular give rise to the violation of the BPS-bound.