2010/11/30 by Jan de Boer, M. M. Sheikh-Jabbari, Joan Simón +1 · 53 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #BTZ black hole #Black Holes and Theoretical Physics #Black brane #Cosmology and Gravitation Theories #Dual polyhedron #Event horizon #Extremal black hole #Horizon #Limit (mathematics) #Massless particle #Mathematical analysis #Mathematical physics #Null (SQL) #Orbifold #Physics #Pure mathematics #hep-th
paper · pdf · doi:10.1088/0264-9381/28/17/175012
published in Classical and Quantum Gravity 28(17), 175012 (IOP Publishing) · 22 pages, no figures, v2: minor improvements, references added
arxiv created 2011/06/23 · openalex publication_date 2011/08/12 · arxiv updated 2011/08/17 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
We consider the massless Bañados–Teitelboim–Zanelli (BTZ) black hole and show that it is possible to take its 'near-horizon' limit in two distinct ways. The first one leads to a null self-dual orbifold of AdS 3 and the second to a singular spacelike AdS orbifold in the large K limit, the 'pinching orbifold'. We show that from the dual 2D conformal field theory (CFT) viewpoint, the null orbifold corresponds to the p + = 0 sector of the discrete light-cone quantization of the 2D CFT where a chiral sector of the CFT is decoupled, while the pinching orbifold corresponds to taking an infinite mass gap limit on both the right and left sectors of the 2D CFT, essentially leaving us with the states only. In the latter case, one can combine the near-horizon limit with sending the 3D Planck length ℓ P to zero or equivalently the dual 2D CFT central charge c to infinity. We provide preliminary evidence that in the latter case some nontrivial dynamics may survive the limit.