Conformal Blocks in the Large D Limit

Abstract

We derive conformal blocks in an inverse spacetime dimension expansion. In this large D limit, the blocks are naturally written in terms of a new combination of conformal cross-ratios. We comment on the implications for the conformal bootstrap at large D.

14 pages, 2 figures

References in corpus (3)

• Holography from Conformal Field Theory
• Bounds on 4D Conformal and Superconformal Field Theories
• Comments on operators with large spin

Cited by in corpus (24)

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• The $(2,0)$ superconformal bootstrap
• Conformal Field Theories in Fractional Dimensions
• The $\mathcal{N}=2$ superconformal bootstrap
• Bootstrapping 3D Fermions
• Diagonal Limit for Conformal Blocks in d Dimensions
• Seed Conformal Blocks in 4D CFT
• The Large D Limit of Einstein's Equations
• Bounds on OPE Coefficients in 4D Conformal Field Theories
• Probing beyond ETH at large $c$
• Reflections on Conformal Spectra
• AdS${}_8$ Solutions in Type II Supergravity
• The free $\sigma$CFTs
• Lightcone expansions of conformal blocks in closed form
• Conformal partial waves in momentum space
• Black hole evaporation and semiclassicality at large D
• Large-$d$ phase transitions in holographic mutual information
• Conformal blocks for highly disparate scaling dimensions
• Factorized lightcone expansion of conformal blocks
• Black Hole Critical Collapse in Infinite Dimensions: Continuous Self-Similar Solutions
• Bound on the central charge of CFTs in large dimension