Conformal blocks in the large \(D\) limit

DOI10.1007/JHEP08(2013)107zbMath1342.83102arXiv1305.0004OpenAlexW3098206733WikidataQ59711981 ScholiaQ59711981MaRDI QIDQ737532

A. Liam Fitzpatrick, David Poland, Jared Kaplan

Publication date: 12 August 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0004

zbMATH Keywords

field theories in higher dimensionsnonperturbative effectsconformal and W symmetry

Mathematics Subject Classification ID

Methods of quantum field theory in general relativity and gravitational theory (83C47)

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Cites Work

• Projectors, shadows, and conformal blocks
• AdS field theory from conformal field theory
• Small black holes in the large \(D\) limit
• The large \(D\) limit of general relativity
• Comments on operators with large spin
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• Effective conformal theory and the flat-space limit of AdS
• Gauge theory correlators from non-critical string theory
• The bootstrap program for boundary \(\mathrm{CFT}_d\)
• The analytic bootstrap and AdS superhorizon locality
• Quantum gravity at a large number of dimensions
• Bounding scalar operator dimensions in 4D CFT
• Infinite conformal symmetry in two-dimensional quantum field theory
• The large \(N\) limit of superconformal field theories and supergravity
• Anti de Sitter space and holography
• Conformal partial waves and the operator product expansion
• The \( \mathcal{N}=2 \) superconformal bootstrap
• Extremal bootstrapping: go with the flow
• Unitarity and the holographic S-matrix
• Spinning conformal blocks
• Improved bounds for CFT's with global symmetries
• Inverse-dimensional expansion in quantum gravity
• Bounds in 4D conformal field theories with global symmetry
• Supersymmetries and their representations
• Lie superalgebras
• Conformal four point functions and the operator product expansion

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