Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space

By J. Maldacena, D. Stanford, Zhenbin Yang. 2016

1,278 citations recorded by the source corpus.

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.

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

View Paper: https://www.semanticscholar.org/paper/299002f4d8cdb9e34a0cfcbbec34689ea5375b07

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. J. Maldacena
3. D. Harlow
4. R. Myers
5. S. Shenker
6. S. Raju
7. Thomas Hartman
8. G. Turiaci

In Nuclear and High Energy Physics

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

In Statistical and Nonlinear Physics

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

Citations in the corpus

• Islands outside the horizon (2019, background): “This map can be obtained in a variety of ways [9, 10, 11, 12].”
• Three dimensional view of the SYK/AdS duality (2017, positive): “This action can be thought as arising from a higher dimensional system which has extremal black holes, and the AdS2 is the near horizon geometry [57].”
• Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information (2020, background): “J H E P 0 8 ( 2 0 2 0 ) 0 4 4 of freedom associated with asymptotic boundaries, described by the Schwarzian path integral [94, 95].”
• Quantum extremal islands made easy. Part I. Entanglement on the brane (2020, background): “, [76].”
• Low-dimensional de Sitter quantum gravity (2019, background): “The asymptotically Euclidean AdS2 boundary conditions may be imposed by cutting off the bulk geometry on a boundary close to the conformal boundary, on which the induced metric and dilaton are dS′2 = ( β′ 2π )2 dθ2 2 , ϕ̄′ = 1 J ′ , (2.68) with the cutoff going to the conformal boundary as → 0.”
• Remarks on the Sachdev-Ye-Kitaev model (2016, background): “As a side remark, note that, as we discuss in[26], the effective action (4.”
• 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”
• Quantum extremal islands made easy. Part II. Black holes on the brane (2020, methodology): “2G e f L2 ‘2 JT : (6.12) In the nal expression, we evaluated the renormalized CFT stress tensor Te CFT ij using the function f dened in eq. (6.4).39 The standard discussions of JT gravity (e.g., [13,114]) refer to the source-free dilaton equation, i.e., the RHS vanishes, but this is easily accommo”
• 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].”
• Asymptotic fragility, near AdS2 holography and TT¯$$ T\overline{T} $$ (2017, methodology): “This setup is inspired by the holographic prescription employed in the NAdS2 case in [8].”
• Pure states in the SYK model and nearly-$AdS_2$ gravity (2017, neutral): “A simple Nearly-AdS2 model is the Jackiw Teitelboim model coupled to matter, see [4, 5, 6, 7] for further discussion.”
• The statistical mechanics of near-extremal black holes (2020, methodology): “The Euclidean path integral of such an effective theory can be computed exactly by first integrating out the gauge degrees [17, 18] and then by analyzing the boundary modes [19] of the resulting model using the well-studied Schwarzian theory [20–34].”
• Bra-ket wormholes in gravitationally prepared states (2020, background): “We imagine we can take to be very small keeping φr constant [18–20].”
• Two dimensional nearly de Sitter gravity (2019, positive): “xternal legs. Adding the other Schwarzian contribution (coming from ket state) corresponding to add its complex conjugate. with a, barbitrary coecients that disappear for SL(2) invariant observables [6]. From higher order expansion of the Schwarzian action we also need to include self interactions b”
• 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.”
• Half-BPS Wilson loop and AdS2/CFT1 (2017, methodology): “As was appreciated in recent discussions of AdS2/CFT1 in the context of dilaton-gravity models [42–46] one can think of a system in AdS2 as having asymptotic 1d reparametrization symmetry that is spontaneously broken down to SO(2, 1), which is the isometry of AdS2 metric.”
• The Schwarzian theory — origins (2018, methodology): “For the Schwarzian theory, we find the precise semi-classical (large C) shockwave expressions of [14, 23] starting from the exact OTO correlators in [74].”