Factorized lightcone expansion of conformal blocks
Wenliang Li
TL;DR
This paper introduces a factorized approach to decomposing 4-point scalar conformal blocks near the lightcone, applicable across various spins and dimensions, with systematic large-spin expansions and resummations.
Contribution
It provides a novel factorized decomposition method for conformal blocks and systematic large-spin expansions, enhancing analytical tools in conformal field theory.
Findings
Derived a factorized decomposition applicable to arbitrary spins and dimensions.
Developed systematic large-spin expansion techniques.
Provided basic integrals for Lorentzian inversion using Wilson functions.
Abstract
We present a factorized decomposition of 4-point scalar conformal blocks near the lightcone, which applies to arbitrary intermediate spin and general spacetime dimensions. Then we discuss the systematic expansion in large intermediate spin and the resummations of the large-spin tails of Regge trajectories. The basic integrals for the Lorentzian inversion are given by Wilson functions.
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