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.

arXiv commentMatches the published version 10.1007/JHEP12(2022)102

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Cited by in corpus (1)

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