Conformal Regge Theory at Finite Boost

Abstract

The Operator Product Expansion is a useful tool to represent correlation functions. In this note we extend Conformal Regge theory to provide an exact OPE representation of Lorenzian four-point correlators in conformal field theory, valid even away from Regge limit. The representation extends convergence of the OPE by rewriting it as a double integral over continuous spins and dimensions, and features a novel "Regge block". We test the formula in the conformal fishnet theory, where exact results involving nontrivial Regge trajectories are available.

arXiv comment29+5 pages, 17 figures

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• Holographic cameras: an eye for the bulk
• Bootstrapping mixed correlators in $\mathcal{N}=4$ Super Yang-Mills
• Revisiting the time-ordering issue of TMD soft factors: causality, coordinate space analyticity and new equalities