Mellin representation of correlators of fermionic operators

by Mr Sourav Sarkar (Humboldt University)

Wednesday 1 Nov 2017, 12:30 → 13:30 Europe/Berlin

SR3 (DESY Hamburg)

We present a definition for Mellin amplitudes for conformal correators with two or four spin half fermions (and scalars) focussing on the four point function. These Mellin amplitudes have multiple components each of which is a meromorphic function of Mellin variables. We detail the location of the dynamical poles of each component and show how the four point Mellin amplitude factorizes at the poles onto three point Mellin amplitudes. To illustrate the general structure, we shall look at some explicit computations of four point Mellin amplitudes associated with tree-level Witten diagrams with fermionic legs. Next we compute Mellin amplitudes associated with tree-level conformal integrals with fermionic and scalar legs and for tree-level diagrams with scalar legs only, we prove a set of completely general Feynman rules for the associated Mellin amplitudes