An investigation of \(\mathrm{AdS}_{2}\) backreaction and holography. (English) Zbl 1390.83104

Engelsöy, Julius; Mertens, Thomas G.; Verlinde, Herman

J. High Energy Phys. 2016, No. 7, Paper No. 139, 30 p. (2016).

Summary: We investigate a dilaton gravity model in \(\mathrm{AdS}_{2}\) proposed by A. Almheiri and J. Polchinski [ibid. 2015, No. 11, Paper No. 14, 19 p. (2015; Zbl 1388.83079)] and develop a 1d effective description in terms of a dynamical boundary time with a Schwarzian derivative action. We show that the effective model is equivalent to a 1d version of Liouville theory, and investigate its dynamics and symmetries via a standard canonical framework. We include the coupling to arbitrary conformal matter and analyze the effective action in the presence of possible sources. We compute commutators of local operators at large time separation, and match the result with the time shift due to a gravitational shockwave interaction. We study a black hole evaporation process and comment on the role of entropy in this model.

MSC:

83C47	Methods of quantum field theory in general relativity and gravitational theory
83C45	Quantization of the gravitational field

Keywords:

2D gravity; AdS-CFT correspondence; black holes; models of quantum gravity

Citations:

Zbl 1388.83079

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