Dynamical sectors for a spinning particle in AdS3
We consider the dynamics of a particle of mass M and spin J in AdS 3 . The study reveals the presence of different dynamical sectors depending on the relative values of M , J and the AdS 3 radius R . For the subcritical M 2 R 2 − J 2 > 0 and supercritical M 2 R 2 − J 2 < 0 cases, it is seen th...
| Authors: | , , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2014 |
| Country: | España |
| Institution: | Universidad de Barcelona |
| Repository: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/131516 |
| Online Access: | https://hdl.handle.net/2445/131516 |
| Access Level: | Open access |
| Keyword: | Forats negres (Astronomia) Gravitació Teoria quàntica de camps Holografia Black holes (Astronomy) Gravitation Quantum field theory Holography |
| Summary: | We consider the dynamics of a particle of mass M and spin J in AdS 3 . The study reveals the presence of different dynamical sectors depending on the relative values of M , J and the AdS 3 radius R . For the subcritical M 2 R 2 − J 2 > 0 and supercritical M 2 R 2 − J 2 < 0 cases, it is seen that the equations of motion give the geodesics of AdS 3 . For the critical case M 2 R 2 = J 2 there exist extra gauge transformations which further reduce the physical degrees of freedom, and the motion corresponds to the geodesics of AdS 2 . This result should be useful in the holographic interpretation of the entanglement entropy for two-dimensional conformal field theories with gravitational anomalies. |
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