Wilson Loops and Black Holes in 2+1 Dimensions

Abstract

In 2+1 dimensional Chern-Simons gravity, Wilson loops in the three dimensional Anti de Sitter group, $SO(2,2)$, reproduce the spinning black hole of Bañados, Teitelboim and Zanelli (BTZ) by naturally duplicating the necessary identification of points of a four dimensional globally $SO(2,2)$ invariant space in which the hole appears as an embedding.

PHYZZX, 10 pages, UATP-9306

References in corpus (4)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Supersymmetry of the 2+1 black holes
• Gauge Formulation of the Spinning Black Hole in (2+1)-Dimensional Anti-de Sitter Space

Cited by in corpus (12)

• The (2+1)-Dimensional Black Hole
• Aspects of Black Hole Quantum Mechanics and Thermodynamics in 2+1 Dimensions
• Wilson Lines and Entanglement Entropy in Higher Spin Gravity
• An exact quantization of Jackiw-Teitelboim gravity
• Gravitational Wilson Lines in 3D de Sitter
• Quantum Naked Singularities in 2d Dilaton Gravity
• Loop variables in the geometry of a rotating black string
• A Rotating, Inhomogeneous Dust Interior for the BTZ Black Hole
• The Structure of AdS Black Holes and Chern Simons Theory in 2+1 Dimensions
• Quantum geometry from 2+1 AdS quantum gravity on the torus
• Supermultiplets of AdS Black Holes in 2+1 Dimensions
• Integrability of the N-body problem in (2+1)-AdS gravity