Supersymmetry of the 2+1 black holes

TL;DR

This paper investigates the supersymmetry properties of 2+1 dimensional anti-de Sitter black holes, revealing specific conditions under which these black holes exhibit supersymmetry and identifying the zero mass black hole as the ground state.

Contribution

It provides a detailed analysis of the supersymmetry of 2+1 dimensional AdS black holes, identifying the conditions for supersymmetry and characterizing the zero mass black hole as the ground state.

Findings

Zero mass black hole has two exact super-symmetries.

Extreme black holes with $lM=|J|$ have one super-symmetry.

Generic black holes do not exhibit supersymmetry.

Abstract

The supersymmetry properties of the asymptotically anti-de Sitter black holes of Einstein theory in 2+1 dimensions are investigated. It is shown that (i) the zero mass black hole has two exact super- symmetries; (ii) extreme $lM=|J|$ black holes with $M \not= 0$ have only one; and (iii) generic black holes do not have any. It is also argued that the zero mass hole is the ground state of (1,1)-adS supergravity with periodic (``Ramond") boundary conditions on the spinor fields.