Universality of long-distance AdS physics from the CFT bootstrap

Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.

doi:10.1007/jhep08(2014)145

Cited by 372 publications

(858 citation statements)

References 117 publications

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“…The light cone limit of crossing equations has proved useful for studying the large spin asymptotics of the operator spectrum [57,58,[123][124][125][126][127][128][129][130]. Here we analyze the crossing equation (4.13) in the light cone limit.…”

Section: Appendix C: Light Cone Limitmentioning

confidence: 99%

The (2, 0) superconformal bootstrap

et al. 2016

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We develop the conformal bootstrap program for six-dimensional conformal field theories with (2, 0) supersymmetry, focusing on the universal four-point function of stress tensor multiplets. We review the solution of the superconformal Ward identities and describe the superconformal block decomposition of this correlator. We apply numerical bootstrap techniques to derive bounds on operator product expansion (OPE) coefficients and scaling dimensions from the constraints of crossing symmetry and unitarity. We also derive analytic results for the large spin spectrum using the light cone expansion of the crossing equation. Our principal result is strong evidence that the A 1 theory realizes the minimal allowed central charge (c ¼ 25) for any interacting (2, 0) theory. This implies that the full stress tensor four-point function of the A 1 theory is the unique unitary solution to the crossing symmetry equation at c ¼ 25. For this theory, we estimate the scaling dimensions of the lightest unprotected operators appearing in the stress tensor operator product expansion. We also find rigorous upper bounds for dimensions and OPE coefficients for a general interacting (2, 0) theory of central charge c. For large c, our bounds appear to be saturated by the holographic predictions obtained from eleven-dimensional supergravity.

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Section: Appendix C: Light Cone Limitmentioning

confidence: 99%

The (2, 0) superconformal bootstrap

et al. 2016

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“…So essentialy we have a CFT with a large symmetry group that has a bulk dual, and also having two equi-dimensional scalars. This picture is similar to [63], except we have two scalars instead of one. We will match the anomalous dimensions for the O(2) model in the field theory with this picture on the holographic side.…”

Section: Holographic Calculation: Example O(2) Modelmentioning

confidence: 99%

“…The shift in energy due to gravitational and gauge interactions between the scalar fields in AdS 5 as an expansion in inverse distance corresponds to the CFT computation of anomalous dimensions of the large spin ( 1) double-twist operators. Computing the first order energy shift due to gravitational interactions in the bulk is equivalent to computing the gravitational interaction of a scalar field in AdS-Schwarzschild black hole [63]. We start with the AdS-Schwarzschild 2 black hole in five dimensions,…”

Section: Jhep06(2016)136mentioning

confidence: 99%

“…As shown in [59,63] this system is equivalent to two scalar objects rotating around the centre of AdS, with total angular momentum . The relation between orb and is given by orb ≈ 2 /n and M BH ≈ n for large n. Thus we get…”

Section: Jhep06(2016)136mentioning

confidence: 99%

“…Hence the gravitational and gauge interactions, computed from the respective energy shifts in a state of two scalars rotating fast around each other, can be compared to the anomalous dimensions of large spin composite operators, due to current and stress tensor respectively, on the CFT side. While the calculations of [62] and [63] entail this feature in some detail, we have managed to…”

Section: Jhep06(2016)136mentioning

confidence: 99%

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More on analytic bootstrap for O(N) models

Dey

Kaviraj

Sen

2016

J. High Energ. Phys.

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This note is an extension of a recent work on the analytical bootstrapping of O(N ) models. An additonal feature of the O(N ) model is that the OPE contains trace and antisymmetric operators apart from the symmetric-traceless objects appearing in the OPE of the singlet sector. This in addition to the stress tensor (T µν ) and the φ i φ i scalar, we also have other minimal twist operators as the spin-1 current J µ and the symmetric-traceless scalar in the case of O(N ). We determine the effect of these additional objects on the anomalous dimensions of the corresponding trace, symmetric-traceless and antisymmetric operators in the large spin sector of the O(N ) model, in the limit when the spin is much larger than the twist. As an observation, we also verified that the leading order results for the large spin sector from the −expansion are an exact match with our n = 0 case. A plausible holographic setup for the special case when N = 2 is also mentioned which mimics the calculation in the CFT.

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Holographic Entanglement Entropy

Rangamani

Takayanagi

2017

Lecture Notes in Physics

341

389

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We review the developments in the past decade on holographic entanglement entropy, a subject that has garnered much attention owing to its potential to teach us about the emergence of spacetime in holography. We provide an introduction to the concept of entanglement entropy in quantum field theories, review the holographic proposals for computing the same, providing some justification for where these proposals arise from in the first two parts. The final part addresses recent developments linking entanglement and geometry. We provide an overview of the various arguments and technical developments that teach us how to use field theory entanglement to detect geometry. Our discussion is by design eclectic; we have chosen to focus on developments that appear to us most promising for further insights into the holographic map. This is a preliminary draft of a few chapters of a book which will appear sometime in the near future, to be published by Springer, as part of their Lecture Notes in Physics series. The book in addition contains a discussion of application of holographic ideas to computation of entanglement entropy in strongly coupled field theories, and discussion of tensor networks and holography, which we have chosen to exclude from the current manuscript. i AcknowledgmentsWe have been extremely fortunate to benefit from the wisdom and deep physical intuition of our wonderful collaborators Veronika Hubeny and Shinsei Ryu who played a pivotal role in helping us develop the basic picture relating quantum entanglement and holography. The importance of their role in shaping the story of holography entanglement entropy cannot be overstated.We have also enjoyed many excellent collaborations in our explorations over the past decade on this subject: thanks to

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Universality of long-distance AdS physics from the CFT bootstrap

Cited by 372 publications

References 117 publications

The (2, 0) superconformal bootstrap

The (2, 0) superconformal bootstrap

More on analytic bootstrap for O(N) models

Holographic Entanglement Entropy

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