Supersymmetric spacetimes in 2+1 adS-supergravity models

TL;DR

This paper classifies supersymmetric solutions in (2+1)-dimensional anti-de Sitter supergravity, including black holes and solitons, and demonstrates classical bounds on their mass related to angular momentum and charge.

Contribution

It provides a comprehensive classification of supersymmetric spacetimes in (2+1) adS-supergravity, including new solutions like conical singularities and charged particles, and establishes classical energy bounds.

Findings

Vacuum solutions include adS space and extreme black holes.

Non-vacuum solutions involve self-gravitating solitons with matter coupling.

Supersymmetric spacetimes saturate classical bounds on energy, angular momentum, and charge.

Abstract

We find a class of (2+1)-dimensional spacetimes admitting Killing spinors appropriate to (2,0) adS-supergravity. The vacuum spacetimes include anti-de Sitter (adS) space and charged extreme black holes, but there are many others, including spacetimes of arbitrarily large negative energy that have only conical singularities, and the spacetimes of fractionally charged point particles. The non-vacuum spacetimes are those of self-gravitating solitons obtained by coupling (2,0) adS supergravity to sigma-model matter. We show, subject to a condition on the matter currents (satisfied by the sigma model), and a conjecture concerning global obstructions to the existence of certain types of spinor fields, that the mass of each supersymmetric spacetime saturates a classical bound, in terms of the angular momentum and charge, on the total energy of arbitrary field configurations with the same boundary conditions, although these bounds may be violated quantum mechanically.