Progress of Theoretical and Experimental Physics· 2016Q1
Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space
- 1,091citations
- Q1SCImago
- 2016year
Short summary
A two-dimensional dilaton gravity system describing nearly anti-de Sitter (AdS2) spacetimes exhibits spontaneous and explicit breaking of asymptotic symmetries, explaining entropy and chaos.
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Key points
- Analyzes a two-dimensional dilaton gravity system for nearly AdS2 spacetimes.
- Asymptotic symmetries of AdS2 are spontaneously and explicitly broken.
- Symmetry breaking governs gravitational backreaction, entropy, and correlation functions.
- Corrections to correlation functions indicate chaos and are described by a Schwarzian derivative effective action.
AI-generated from the title and abstract; the full text is not read.
Abstract
We study a two-dimensional dilaton gravity system, recently examined by Almheiri and Polchinski, which describes near-extremal black holes, or more generally, nearly AdS 2 spacetimes. The asymptotic symmetries of AdS 2 are all the time reparametrizations of the boundary. These symmetries are spontaneously broken by the AdS 2 geometry and they are explicitly broken by the small deformation away from AdS 2 . This pattern of spontaneous plus explicit symmetry breaking governs the gravitational backreaction of the system. It determines several gravitational properties such as the linear in temperature dependence of the near-extremal entropy as well as the gravitational corrections to correlation functions. These corrections include the ones determining the growth of out-of-time-order correlators that is indicative of chaos. These gravitational aspects can be described in terms of a Schwarzian derivative effective action for a reparametrization. ........
The authors' abstract, as published at the source. Progress of Theoretical and Experimental Physics, 2016 · DOI ↗
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Field: Nuclear and High Energy Physics
Nuclear and High Energy PhysicsPhysics and Astronomy