In Conformal Field Theory, one is often concerned with computing local correlation functions from the spectrum of local operators and their OPE coefficients.
In general quantum field theories, we expect these correlation functions to satisfy Wightman and Osterwalder-Schrader axioms.
In this talk, I will explain that Wightman axioms are not obvious for CFT correlation functions and then present a proof for correlators up to four points.
In the process I will also briefly review the classic results relating Wightman and O-S axioms, which have caveats that are important in the CFT setup.
Petr Kravchuk (Princeton): CFTs and Wightman axioms in general dimensions
