Neither black-holes nor regular solitons: a no-go theorem

TL;DR

This paper proves a no-go theorem showing that regular supersymmetric black holes and solitons with certain symmetries do not exist in a specific supergravity theory, implying unbounded scalar flows.

Contribution

It establishes a no-go theorem for regular supersymmetric solutions in N=2, d=5 gauged supergravity with specific symmetries, clarifying the limitations of such configurations.

Findings

No regular supersymmetric black-hole solutions exist.

Regular supersymmetric solitons with these symmetries are impossible.

Scalar flows in these solutions are always unbounded.

Abstract

By studying the BPS equations for electrostatic and spherically symmetric configurations in N=2, d=5 gauged supergravity with vector multiplets and hypermultiplets coupled, we demonstrate that no regular supersymmetric black-hole solutions of this kind exist. Furthermore, we demonstrate that it is not possible to construct supersymmetric regular solitons that have the above symmetries. As a consequence the scalar flow associated to the BPS solutions is always unbounded.