Cut-touching linear functionals in the conformal bootstrap

DOI10.1007/JHEP06(2017)076zbMath1380.81357arXiv1705.01357MaRDI QIDQ683179

Jiaxin Qiao, Slava Rychkov

Publication date: 5 February 2018

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

Full work available at URL: https://arxiv.org/abs/1705.01357

zbMATH Keywords

conformal field theoryconformal and W symmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40)

Related Items (26)

Mellin amplitudes for \(1d\) CFT ⋮ Charging up the functional bootstrap ⋮ The unique Polyakov blocks ⋮ Large \(N\) analytical functional bootstrap. I: 1D CFTs and total positivity ⋮ From conformal correlators to analytic S-matrices: \(\mathrm{CFT}_1/\mathrm{QFT}_2\) ⋮ Bound on the central charge of CFTs in large dimension ⋮ Bootstrapping bulk locality. I: Sum rules for AdS form factors ⋮ A Tauberian theorem for the conformal bootstrap ⋮ Conformal four-point correlation functions from the operator product expansion ⋮ A basis of analytic functionals for CFTs in general dimension ⋮ Dispersion relations and exact bounds on CFT correlators ⋮ Casimir recursion relations for general conformal blocks ⋮ Weight shifting operators and conformal blocks ⋮ A functional approach to the numerical conformal bootstrap ⋮ A conformal dispersion relation: correlations from absorption ⋮ Dispersive CFT sum rules ⋮ Sphere packing and quantum gravity ⋮ Scalar-fermion analytic bootstrap in 4D ⋮ A crossing-symmetric OPE inversion formula ⋮ On the positive geometry of conformal field theory ⋮ Distributions in CFT. I: Cross-ratio space ⋮ Analytic functional bootstrap for CFTs in \(d > 1\) ⋮ The functional bootstrap for boundary CFT ⋮ AdS bulk locality from sharp CFT bounds ⋮ New methods for conformal correlation functions ⋮ Selected topics in analytic conformal bootstrap: a guided journey

Cites Work

• EPFL lectures on conformal field theory in \(D \geq 3\) dimensions
• Bounding scalar operator dimensions in 4D CFT
• Infinite conformal symmetry in two-dimensional quantum field theory
• Conformal partial waves and the operator product expansion
• Analytic bounds and emergence of \(\mathrm{AdS}_{2}\) physics from the conformal bootstrap
• The Conformal Bootstrap
• Conformal four point functions and the operator product expansion

This page was built for publication: Cut-touching linear functionals in the conformal bootstrap