Spontaneously broken asymptotic symmetries and an effective action for horizon dynamics
Asymptotic spacetime symmetries have been conjectured to play an important role in quantum gravity. In this paper we study the breaking of asymptotic symmetries associated with a null horizon boundary. In two-dimensions, these symmetries are reparametrizations of the time parameter on the horizon. W...
| Հիմնական հեղինակ: | |
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| Ձևաչափ: | Journal article |
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Springer Verlag
2017
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| _version_ | 1826264871417675776 |
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| author | Eling, C |
| author_facet | Eling, C |
| author_sort | Eling, C |
| collection | OXFORD |
| description | Asymptotic spacetime symmetries have been conjectured to play an important role in quantum gravity. In this paper we study the breaking of asymptotic symmetries associated with a null horizon boundary. In two-dimensions, these symmetries are reparametrizations of the time parameter on the horizon. We show how this horizon reparametrization symmetry is explicitly and spontaneously broken in dilaton gravity and construct an effective action for these pseudo-Goldstone modes using the on-shell gravitational action for a null boundary. The variation of this action yields the horizon constraint equation. This action is invariant under a 2 parameter subgroup of SL(2) transformations, whose Noether charges we interpret via the membrane paradigm. We place these results in the context of recent work on the near AdS2/ near CFT1 correspondence. In this setting the horizon action characterizes the infrared regime near the horizon and has a hydrodynamical sigma model form. We also discuss our construction in General Relativity. In the three-dimensional case there is a natural generalization of our results. However, in higher dimensions, the variation of the effective action only yields the Raychaudhuri equation for small perturbations of the horizon. |
| first_indexed | 2024-03-06T20:14:48Z |
| format | Journal article |
| id | oxford-uuid:2bc58e49-b1f7-47a6-9151-5ed75370ec25 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T20:14:48Z |
| publishDate | 2017 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:2bc58e49-b1f7-47a6-9151-5ed75370ec252022-03-26T12:33:04ZSpontaneously broken asymptotic symmetries and an effective action for horizon dynamicsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2bc58e49-b1f7-47a6-9151-5ed75370ec25Symplectic Elements at OxfordSpringer Verlag2017Eling, CAsymptotic spacetime symmetries have been conjectured to play an important role in quantum gravity. In this paper we study the breaking of asymptotic symmetries associated with a null horizon boundary. In two-dimensions, these symmetries are reparametrizations of the time parameter on the horizon. We show how this horizon reparametrization symmetry is explicitly and spontaneously broken in dilaton gravity and construct an effective action for these pseudo-Goldstone modes using the on-shell gravitational action for a null boundary. The variation of this action yields the horizon constraint equation. This action is invariant under a 2 parameter subgroup of SL(2) transformations, whose Noether charges we interpret via the membrane paradigm. We place these results in the context of recent work on the near AdS2/ near CFT1 correspondence. In this setting the horizon action characterizes the infrared regime near the horizon and has a hydrodynamical sigma model form. We also discuss our construction in General Relativity. In the three-dimensional case there is a natural generalization of our results. However, in higher dimensions, the variation of the effective action only yields the Raychaudhuri equation for small perturbations of the horizon. |
| spellingShingle | Eling, C Spontaneously broken asymptotic symmetries and an effective action for horizon dynamics |
| title | Spontaneously broken asymptotic symmetries and an effective action for horizon dynamics |
| title_full | Spontaneously broken asymptotic symmetries and an effective action for horizon dynamics |
| title_fullStr | Spontaneously broken asymptotic symmetries and an effective action for horizon dynamics |
| title_full_unstemmed | Spontaneously broken asymptotic symmetries and an effective action for horizon dynamics |
| title_short | Spontaneously broken asymptotic symmetries and an effective action for horizon dynamics |
| title_sort | spontaneously broken asymptotic symmetries and an effective action for horizon dynamics |
| work_keys_str_mv | AT elingc spontaneouslybrokenasymptoticsymmetriesandaneffectiveactionforhorizondynamics |