Constructing local bulk observables in interacting AdS/CFT
By D. Kabat, G. Lifschytz, D. Lowe. 2011
236 citations recorded by the source corpus.
Local operators in the bulk of anti-de Sitter can be represented as smeared operators in the dual conformal field theory. We show how to construct these bulk observables by requiring that the bulk operators commute at spacelike separation. This extends our previous work by taking interactions into account. Large-N factorization plays a key role in the construction. We show diagrammatically how this procedure is related to bulk Feynman diagrams.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/76e79b47c9b9e148f739a847a712ec32042fe95b
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Citations in the corpus
- An apologia for firewalls (2013, background): “For clarity, we note that one should distinguish this from a more familiar form of state dependence, exemplified for example by the construction of bulk fields in AdS as a power series in bulk interactions [46, 47].”
- Bulk locality and quantum error correction in AdS/CFT (2014, background): “1/N corrections can be systematically included [14, 15], although we won’t really need to discuss them here.”
- An infalling observer in AdS/CFT (2012, background): “However, if we go even to 1 N , we cannot consistently neglect these modes and, in fact, their presence will lead to a conflict with locality as was explored in [44].”
- Bulk and transhorizon measurements in AdS/CFT (2012, background): “It would seem preferable to have some intrinsic way to identify the bulk field operators, for example through their property of commutativity at spacelike separation [16] (or more precisely, commutativity up to Gauss’s law tails),”
- Extremal surfaces as bulk probes in AdS/CFT (2012, unknown): “[8–12].”
- Wormholes, emergent gauge fields, and the weak gravity conjecture (2015, background): “A similar expression can also be derived for the CFT representation of any charged field in the bulk, and it is understood how to include interactions perturbatively using similar methods [3, 4].”
- Bulk curves from boundary data in holography (2013, background): “\rewall" problem of black holes [53, 54]. It would be interesting to understand the factorization of the Hilbert space in the light of how local bulk observables are constructed on the boundary [55, 56]. Related questions: Although we phrased everything in terms of eld theory and AdS/CFT, simil”
- 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.”
- Bulk locality from modular flow (2017, background): “In the vacuum, these corrections to HKLL read [3]:”
- Quantum computation vs. firewalls (2013, methodology): “being outside the horizon, and she can also try to construct them using the method of [51].”
- TASI Lectures on the Emergence of Bulk Physics in AdS/CFT (2017, methodology): “In particular, commutativity at spacelike separation would fail [39].”