The fuzzy BTZ

Abstract

We introduce a model of a noncommutative BTZ black hole, obtained by quantisation of Poincaré coordinates together with a moving frame. The fuzzy BTZ black hole carries a covariant differential calculus, satisfies Einstein's equations and has a constant negative curvature. The construction passes through a larger space, the fuzzy anti-de Sitter, and implements discrete BTZ identifications as conjugations by a unitary operator. We derive the spectrum of the suitably regularised radial coordinate: it consists of a continuum of scattering states outside the horizon $r_{+}$ and an infinite discrete set of bound states inside.

Matches the published version 10.1007/JHEP12(2022)102

References in corpus (4)

• Noncommutative BTZ Black Hole and Discrete Time
• Noncommutative BTZ Black Hole in Polar Coordinates
• Noncommutative vector bundles over fuzzy CP^N and their covariant derivatives
• Noncommutative SO(2,3) gauge theory and noncommutative gravity

Cited by in corpus (1)

• QFT on Fuzzy AdS Spaces: Classical Limit and Boundary Correlation Functions