Bulk and transhorizon measurements in AdS/CFT

By Idse Heemskerk, D. Marolf, J. Polchinski, J. Sully. 2012

199 citations recorded by the source corpus.

A bstractWe discuss the construction of bulk operators in asymptotically AdS space-times, including the interiors of AdS black holes. We use this to address the question “If Schrodinger’s cat were behind the horizon of an AdS black hole, could we determine its state by a measurement in the dual CFT?” We argue that the answer is affirmative, but this assumes a complete knowledge of both the bulk and boundary dynamics.

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

View Paper: https://www.semanticscholar.org/paper/9f5a96d1b7fb40979d994111fe3d31e6a8048a1f

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Citations in the corpus

Symmetries in Quantum Field Theory and Quantum Gravity (2018, methodology): “der in the interactions, producing a CFT representation of Aa (in some gauge) which obeys the bulk equations of motion derived from the bulk eective Lagrangian to all orders in perturbation theory [137,138,150, 151]. A similar analysis should work in the presence of Chern-Simons terms, terms, etc. ”
Bulk locality and quantum error correction in AdS/CFT (2014, methodology): “We begin by briefly recalling the standard CFT construction of local bulk fields in AdS [1, 3, 14].”
Cool horizons for entangled black holes (2013, background): “This seems a reasonable choice, at least from semiclassical bulk considerations, see also [21].”
Stringy effects in scrambling (2014, methodology): “The firewall proposal [18–20] has re-emphasized the importance of these effects, as transplanckian physics provides an obstruction [21] to building the interior using the pullback-pushforward technique [22].”
Black holes and the butterfly effect (2013, background): “In the unperturbed geometry, b and b̃ are related to smeared CFT operators φL and φR [57, 58, 59], so the bulk correlation 〈bb̃〉 can be viewed as arising from the CFT correlation (17)The perturbation at tw can also affect conserved quantities, such as the energy.”
Holographic duality from random tensor networks (2016, background): “We can define the spin-down region in such a minimal energy configuration as EA, which bounds the boundary region A, and corresponds to the region known as the entanglement wedge in the literature [23, 24].”
Lessons from the information paradox (2020, background): “For some special states, it may be possible to use bulk evolution or other techniques [200,201] to write down specific formulas for interior operators.”
Jerusalem Lectures on Black Holes and Quantum Information (2014, background): “It can be “fixed up” perturbatively in 1/N [101, 102], but there is no reason to expect a generalization that holds non-perturbatively and good reasons not to.”
Wormholes, emergent gauge fields, and the weak gravity conjecture (2015, methodology): “Once we have the full set of exterior operators together with these Wilson lines, the interior operators can be obtained by bulk Cauchy evolution [4].”
An apologia for firewalls (2013, background): “To extend this past the horizon of a black hole that is formed from collapse, it is necessary to integrate the field equations back in time prior to the formation of the black hole, and then outward to the boundary [80, 47].”
Multiple shocks (2013, background): “Using the time-folded bulk of [29], these states can be combined as different sheets of an “accordion” geometry.”
Non-supersymmetric AdS and the Swampland (2016, background): “The bulk reconstruction argument seems to suggest that the converse is also true [23, 24].”
Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime (2014, methodology): “In the case where the times are not in sequential order, it is necessary to use the time fold formalism [68] to work out the resulting bulk spacetime.”
State-Dependent Bulk-Boundary Maps and Black Hole Complementarity (2013, background): “2) in empty AdS had previously been discussed extensively in the literature [13, 14, 15, 16].”
Localized shocks (2014, background): “This naive tensor network is an explicit representation of a timefold [9, 33], where we evolve backwards in time, insert the operator, then evolve forwards again.”
Complexity, action, and black holes (2015, background): “he boundary at t L and t R. Wis also the spacetime region determined by the data on the maximal slice (or any other spacelike slice within W) and is naturally associated with the boundary state, e.g. [15]. Note that Wis not a causal patch so no single observer is able to monitor all of W; this is co”
A stereoscopic look into the bulk (2016, methodology): “The conceptual advantage of our approach over the traditional HKLL construction [12–18] lies in its invariance under diffeomorphisms: both the smearing function and the bulk point are defined with sole reference to the boundary.”
Complexity and Shock Wave Geometries (2014, background): “Since the operators are generally out of time order, the evolution can be represented by a time-fold [22][23] as shown in figure 6.”