Supersymmetry and cosmic censorship

TL;DR

This paper demonstrates that unbroken supersymmetry in certain supergravity solutions generally prevents naked singularities and excludes unphysical features like NUT charge and negative energy, linking supersymmetry to cosmic censorship.

Contribution

It establishes a connection between supersymmetry and the cosmic censorship conjecture by showing supersymmetry constraints eliminate many pathological solutions in supergravity theories.

Findings

Supersymmetry enforces the absence of naked singularities.

Supersymmetry excludes sources of NUT charge, angular momentum, scalar hair, and negative energy.

Some supersymmetric solutions can still have global angular momentum and scalar fields.

Abstract

We show that requiring unbroken supersymmetry everywhere in black-hole-type solutions of N=2,d=4 supergravity coupled to vector supermultiplets ensures in most cases absence of naked singularities. We show that the requirement of global supersymmetry implies the absence of sources for NUT charge, angular momentum, scalar hair and negative energy, for which there is no microscopic interpretation in String Theory. These conditions exclude, for instance, singular solutions such as the Kerr-Newman with M=|q|, which fails to be everywhere supersymmetric. There are, nevertheless, everywhere supersymmetric solutions with "global" angular momentum and non-trivial scalar fields. We also present similar preliminary results in N=1,d=5 supergravity coupled to vector multiplets.