Models of AdS2 backreaction and holography

By Ahmed Almheiri, J. Polchinski. 2014

603 citations recorded by the source corpus.

A bstractWe develop models of 1+1 dimensional dilaton gravity describing flows to AdS2 from higher dimensional AdS and other spaces. We use these to study the effects of backreaction on holographic correlators. We show that this scales as a relevant effect at low energies, for compact transverse spaces. We also discuss effects of matter loops, as in the CGHS model.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/5b90136f982e3b247333be9ce75d53db50108d91

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In Astronomy and Astrophysics

1. D. Stanford
2. J. Maldacena
3. D. Harlow
4. S. Shenker
5. Phil Saad
6. S. Raju
7. Zhenbin Yang
8. Thomas Hartman

In Nuclear and High Energy Physics

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

In Statistical and Nonlinear Physics

1. D. Stanford
2. D. Harlow
3. Phil Saad
4. J. Maldacena
5. S. Raju
6. S. Shenker
7. Zhenbin Yang
8. Thomas Hartman

Citations in the corpus

• The factorization problem in Jackiw-Teitelboim gravity (2018, background): “1) Here Φ0 is a large positive constant, which in a situation where we obtained this theory by dimensional reduction would correspond to the volume in higher-dimensional Planck units of the compact directions [32, 48].”
• The bulk dual of SYK: cubic couplings (2017, background): “One cures this by regulating the AdS2, as was understood in [3].”
• Three dimensional view of the SYK/AdS duality (2017, positive): “It has been conjectured in [56{59] that the gravity sector of this model is the Jackiw-Teitelboim model [60, 61] of dilaton-gravity with a negative cosmological constant, studied in [62], while [63] provides strong evidence that it is actually Liouville theory.”
• Fermionic localization of the schwarzian theory (2017, positive): “The low-energy description of the SYK model [1, 2] and of certain two-dimensional dilaton gravity models [3, 4, 5] is a theory of a degree of freedom φ(τ) that describes a reparametrization of the thermal circle.”
• Statistical mechanics of a two-dimensional black hole (2018, methodology): “A particularly simple model, due to Jackiw [1], Teitelboim [2], and Almheiri and Polchinski [3], is well-studied semiclassically and represents a whole universality class.”
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole (2019, methodology): “ via tu;tu 1 2pt 8 tq2 1 kuOpk2e q ; (2.29) where tfpuq. With a given stress tensor, the constraints and equation of motion for the metric can be solved in terms of an integral of the stress tensor [35]. To the future of the shock x ¡0, this solution can be written as ˚2˚ r 1 p ˇT 1q2x x 1 2 kIpx ;x”
• Entanglement wedge reconstruction and the information paradox (2019, background): “Although the precise dual gravity description, if one exists, remain unknown, both the SYK model and simple nearly-AdS2 gravity theories such as Jackiw-Teitelboim gravity [73, 94–97] have an emergent reparameterisation symmetry that is both spontaneously and explicitly broken, with the explicit symm”
• An introduction to the SYK model (2018, background): “ This is a result of being nearly conformally invariant. On the AdS2 side, since Einstein gravity is topological in two-dimensions, it is natural to instead consider Jackiw-Teitelboim dilaton gravity [54,55]. Dilaton gravity theories naturally arise from compactifying gravity in higher dimensions do”