On the four-point function of the stress-energy tensors in a CFT
High Energy Physics - Theory
2020-06-11 v1
Abstract
We discuss to what extent the full set of Ward Identities constrain the four-point function of the stress-energy tensors or conserved currents in a conformal field theory. We calculate the number of kinematically unrestricted 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 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 Ward Identities in coordinate and momentum space.
Keywords
Cite
@article{arxiv.1311.4546,
title = {On the four-point function of the stress-energy tensors in a CFT},
author = {Anatoly Dymarsky},
journal= {arXiv preprint arXiv:1311.4546},
year = {2020}
}
Comments
31 pages, 1 figure