Cosmic Censorship Violation for a Class of Supersymmetric Solitons

TL;DR

This paper presents the discovery of supersymmetric domain walls in supergravity theories that connect regular vacua to singular ones, providing the first example of supersymmetric solitons with naked singularities, challenging cosmic censorship.

Contribution

It introduces a new class of supersymmetric domain walls that interpolate between Minkowski space and singular vacua, demonstrating cosmic censorship violation in supersymmetric contexts.

Findings

Supersymmetric planar walls exist between regular and singular vacua.

These walls are the first known supersymmetric solitons with naked singularities.

The results challenge the strong cosmic censorship conjecture within supergravity.

Abstract

We study vacuum domain walls in a class of four-dimensional $N=1$ supergravity theories where along with the matter field, forming the wall, there is more than one ``dilaton'', each respecting $SU(1,1)$ symmetry in their sub-sector. We find {\it supersymmetric} (planar, static) walls, interpolaing between Minkowski vacuum and a new class of supersymmetric vacua which have a naked (planar) singularity. Such walls provide the first example of supersymmetric classical ``solitons'' with naked singularities, and thus violate the (strong) cosmic censorship conjecture within a supersymmetric theory.