Thresholds of large N factorization in CFT4: exploring bulk spacetime in AdS5

Garner, David; Ramgoolam, Sanjaye; Wen, Congkao

doi:10.1007/jhep11(2014)076

Cited by 7 publications

(4 citation statements)

References 58 publications

(117 reference statements)

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“…For us it is a choice that tells us how big of an error we should allow. A similar (slightly weaker) limit is obtained from three point functions [30] (see also [31] and references therein for earlier work on the exact three point functions).…”

Section: Cutoff Physics In the Young Tableaux Formalismsupporting

confidence: 55%

Code subspaces for LLM geometries

Berenstein

Miller

2018

Class. Quantum Grav.

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We consider effective field theory around classical background geometries with a gauge theory dual, in the class of LLM geometries. These are dual to half-BPS states of N = 4 SYM. We find that the language of code subspaces is natural for discussing the set of nearby states, which are built by acting with effective fields on these backgrounds. This work extends our previous work by going beyond the strict infinite N limit. We further discuss how one can extract the topology of the state beyond N → ∞ and find that uncertainty and entanglement entropy calculations still provide a useful tool to do so. Finally, we discuss obstructions to writing down a globally defined metric operator. We find that the answer depends on the choice of reference state that one starts with. Therefore there is ambiguity in trying to write an operator that describes the metric globally. arXiv:1708.00035v2 [hep-th]

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Section: Cutoff Physics In the Young Tableaux Formalismsupporting

confidence: 55%

Code subspaces for LLM geometries

Berenstein

Miller

2018

Class. Quantum Grav.

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“…Regarding previous work, non-local effects in quantum gravity have been proposed by several authors, most notably Giddings [23,24,25], and mechanisms for the breakdown of bulk locality in AdS/CFT have been studied in [26,27]. Many of the results in this paper build on the ideas presented in [28,29].…”

Section: Introductionmentioning

confidence: 65%

Finite N and the failure of bulk locality: black holes in AdS/CFT

Kabat

Lifschytz

2014

J. High Energ. Phys.

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We consider bulk quantum fields in AdS/CFT in the background of an eternal black hole. We show that for black holes with finite entropy, correlation functions of semiclassical bulk operators close to the horizon deviate from their semiclassical value and are ill-defined inside the horizon. This is due to the large-time behavior of correlators in a unitary CFT, and means the region near and inside the horizon receives corrections. We give a prescription for modifying the definition of a bulk field in a black hole background, such that one can still define operators that mimic the inside of the horizon, but at the price of violating microcausality. For supergravity fields we find that commutators at spacelike separation generically ∼ e −S/2 . Similar results hold for stable black holes that form in collapse. The general lesson may be that a small amount of non-locality, even over arbitrarily large spacelike distances, is an essential aspect of non-perturbative quantum gravity.

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“…The complex matrix model correlator can be calculated by using character sums. In [26], it is shown that…”

Section: The Complex Matrix Modelmentioning

confidence: 99%

Permutation combinatorics of worldsheet moduli space

2015

Self Cite

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Light-cone string diagrams have been used to reproduce the orbifold Euler characteristic of moduli spaces of punctured Riemann surfaces at low genus and with few punctures. Nakamura studied the meromorphic differential introduced by Giddings and Wolpert to characterise light-cone diagrams and introduced a class of graphs related to this differential. These Nakamura graphs were used to parametrise the cells in a light-cone cell decomposition of moduli space. We develop links between Nakamura graphs and realisations of the worldsheet as branched covers. This leads to a development of the combinatorics of Nakamura graphs in terms of permutation tuples. For certain classes of cells, including those of top dimension, there is a simple relation to Belyi maps, which allows us to use results from Hermitian and complex matrix models to give analytic formulae for the counting of cells at arbitrarily high genus. For the most general cells, we develop a new equivalence relation on Hurwitz classes which organises the cells and allows efficient enumeration of Nakamura graphs using the group theory software GAP.Comment: 52 pages, 21 figures; minor corrections, "On the" dropped from title, matches published versio

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Thresholds of large N factorization in CFT4: exploring bulk spacetime in AdS5

Cited by 7 publications

References 58 publications

Code subspaces for LLM geometries

Code subspaces for LLM geometries

Finite N and the failure of bulk locality: black holes in AdS/CFT

Permutation combinatorics of worldsheet moduli space

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