Quantization of conical spaces in 3D gravity

0454707 - FZÚ 2016 RIV US eng J - Článek v odborném periodiku
Raeymaekers, Joris
Quantization of conical spaces in 3D gravity.
Journal of High Energy Physics. Roč. 2015, č. 3 (2015), 060. ISSN 1029-8479. E-ISSN 1029-8479
Grant CEP: GA ČR(CZ) GA14-31689S
Institucionální podpora: RVO:68378271
Klíčová slova: AdS-CFT correspondence * models of quantum gravity * conformal and W symmetry * higher spin gravity
Kód oboru RIV: BE - Teoretická fyzika
Impakt faktor: 6.023, rok: 2015

We discuss the quantization and holographic aspects of a class of conical spaces in 2+1 dimensional pure AdS gravity. These appear as topological solitons in the Chern-Simons formulation of the theory and are closely related to the recently studied conical solutions in higher spin gravity. We discuss the classical fluctuations around these solutions, which form exceptional coadjoint orbits of the asymptotic Virasoro group. We argue that the quantization of these solutions leads to nonunitary representations of the Virasoro algebra, on account of their having boundary graviton fluctuations which lower the energy. We propose a framework to quantize them in a semiclassical expansion in the inverse central charge, which we use to compute their one-loop corrected energies. Interestingly, the resulting Virasoro representations contain a null vector, thus providing an appearance of Kac’s degenerate representations, which are nonunitary at large central charge, in the context of gravity.
Trvalý link: http://hdl.handle.net/11104/0255341