The fuzzy BTZ
| Autor: | Buric, Ilija, Buric, Maja |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP12(2022)102 |
| Popis: | 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. Comment: Matches the published version 10.1007/JHEP12(2022)102 |
| Databáze: | arXiv |
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