Conformal symmetry in momentum space and anomaly actions in gravity

by Matteo Maria Maglio (L)

Wednesday 24 Mar 2021, 14:30 → 15:30 Europe/Rome

In this talk, the solution of the conformal constraints of 3- and 4-point functions in momentum space in dimensions d ≥ 2, in the form of conformal Ward identities (CWI’s), will be presented. We centre our discussion on the analysis of correlators containing stress-energy tensors (T), conserved currents (J), and scalar operators (O). For scalar 4-point functions, we briefly discuss a new method for determining the dual conformal solutions of such equations, identified only by the CWI’s and related to the dcc (dual conformal/conformal) symmetry. 

In correlation functions with T tensors, the conformal anomaly is characterized by the (nonlocal) exchange of massless poles in specific form factors, which has been investigated both in free field theory and non-perturbatively by solving the conformal constraints.