On the four-point function of the stress-energy tensors in a CFT
by
Anatoly Dymarsky(Cambridge)
→
Europe/Stockholm
122:026
122:026
Description
We discuss to what extent the full set of Ward Identities,
namely the diffeomorphism and conformal W.I., constrain the four-point
function of the stress-energy tensors (or conserved currents) in a
general conformal field theory. We calculate the number of surviving
functional degrees of freedom governing the corresponding correlators
and find that it matches the number of functional degrees of freedom
governing scattering amplitudes of some "dual'' massless particles in
the auxiliary Minkowski space. We also outline a way to formulate the
conformal bootstrap constraints for the correlators in question in terms
of only unrestricted degrees of freedom. As a by-product we find
interesting parallels between solving W.I. in coordinate and momentum space.
