Supermultiplets of AdS Black Holes in 2+1 Dimensions

TL;DR

This paper constructs supermultiplets of AdS black holes in 2+1 dimensions using Chern-Simons gauge theory, revealing a supersymmetric structure and a discrete spectrum of excited states for super black holes.

Contribution

It introduces a novel construction of super AdS black holes as supermultiplets in 2+1 dimensions, with explicit formulas and a microscopic model for super black hole states.

Findings

Black holes form supermultiplets related by supersymmetry.

Explicit expressions for black hole masses and angular momenta.

Discrete tower of excited states as a microscopic model.

Abstract

We construct super AdS black holes in 2+1 dimensions in terms of Chern Simons gauge theory of N=(1,1) super AdS group coupled to a (super)source. We take the source to be a super AdS state specified by its Casimir invariants. We show that the corresponding space-time is a supermultiplet of AdS space-times related to each other by supersymmetry transformations. We give explicit expressions for the masses and the angular momenta of the black holes in a supermultiplet. With one exception, for N=(1,1) one pair of extremal black holes can be accommodated in such all-black hole supermultiplets. The requirement that the source be a unitary representation leads to a discrete tower of excited states which provide a microscopic model for the super black hole.