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arXiv · 2204.03673

The fuzzy BTZ

Ilija Buric·Maja Buric
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Abstract

We introduce a model of a noncommutative BTZ black hole, obtained by quantisation of Poincar\'e 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.

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Ilija Buric, Maja Buric. 2022-04-07. The fuzzy BTZ. https://doi.org/10.1007/jhep12(2022)102

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