An investigation of AdS2 backreaction and holography

By Julius Engelsöy, Tom Mertens, H. Verlinde. 2016

607 citations recorded by the source corpus.

A bstractWe investigate a dilaton gravity model in AdS2 proposed by Almheiri and Polchinski [1] 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.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b6eabf1ade77e59488b9daf6a500ffb729bf3817

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. D. Stanford
2. D. Harlow
3. J. Maldacena
4. S. Shenker
5. Phil Saad
6. Zhenbin Yang
7. G. Turiaci
8. L. Susskind

In Atomic and Molecular Physics, and Optics

1. D. Stanford
2. Zhenbin Yang
3. Phil Saad
4. S. Shenker
5. E. Witten
6. J. Maldacena
7. D. Harlow
8. Alexei Y. Kitaev

In Nuclear and High Energy Physics

1. D. Stanford
2. J. Maldacena
3. D. Harlow
4. Phil Saad
5. Zhenbin Yang
6. S. Shenker
7. E. Witten
8. G. Turiaci

Citations in the corpus

• Three dimensional view of the SYK/AdS duality (2017, positive): “According to [57] and [58], the bulk dual of the SYK model involves Jackiw-Teitelboim theory of two dimensional dilaton gravity, whose action is given by (upto usual boundary terms)”
• Notes on the complex Sachdev-Ye-Kitaev model (2019, background): “Several works [9,3,10–12,8,13–18] have discussed the nature of the theory of AdS2 horizons, which is applicable to the higher dimensional black holes at T 1/Rh.”
• The quantum gravity dynamics of near extremal black holes (2018, background): “This large q or small limit is the same one that isolates the Schwarzian action from the JT theory [13, 19, 20].”
• Eternal traversable wormhole (2018, background): “The next best possibility is to consider Nearly-AdS2 boundary conditions [1, 3, 2, 4], which are described by Jackiw-Teitelboim gravity [15, 16]”
• Asymptotic fragility, near AdS2 holography and TT¯$$ T\overline{T} $$ (2017, background): “The situation is different in the JT NAdS2 case, where gravity affects correlation functions exclusively through the boundary dynamics [3]–[9].”
• Low-dimensional de Sitter quantum gravity (2019, background): “Backreaction may be consistently studied in this context, and in fact the gravitational path integral for this simple theory reduces to a boundary path integral, often called the Schwarzian theory2 [27, 30, 31].”
• Black holes and random matrices (2016, background): “It realizes a (highly curved) description of a “nearly AdS2”/“nearly CFT1” system [19, 14, 20, 21, 22].”
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual (2017, methodology): “1 The choice of the model The authors in [21, 22, 23] obtained the Schwarzian action from a two-dimensional dilaton gravity with suitable boundary conditions.”
• Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information (2020, background): “In that theory, a local bulk theory gives rise to a degree of freedom associated with asymptotic boundaries, described by the Schwarzian path integral [93, 94].”