Conformal blocks for highly disparate scaling dimensions

Abstract

We show that conformal blocks simplify greatly when there is a large difference between two of the scaling dimensions for external operators. In particular the spacetime dimension only appears in an overall constant which we determine via recurrence relations. Connections to the conformal bootstrap program and the AdS / CFT correspondence are also discussed.

18+3 pages, 4 figures, PDF LaTeX

References in corpus (6)

• Holography from Conformal Field Theory
• Writing CFT correlation functions as AdS scattering amplitudes
• Bootstrapping the O(N) Vector Models
• Bounds on 4D Conformal and Superconformal Field Theories
• Bootstrapping the 3d Ising twist defect
• Conformal Field Theories in Fractional Dimensions

Cited by in corpus (4)

• Bootstrapping Mixed Correlators in the 3D Ising Model
• Bootstrapping $\mathcal{N}=2$ chiral correlators
• Seed Conformal Blocks in 4D CFT
• Three-point energy correlators and the celestial block expansion