de Sitter symmetries and inflationary correlators in parity violating scalar-vector models

Understand

In this paper we use conformal field theory techniques to constrain the form of the correlations functions of an inflationary scalar-vector model described by the interaction term $f_1(\phi)F_{\mu \nu}F^{\mu \nu} + f_2(\phi)\tilde{F}_{\mu \nu}F^{\mu \nu}$.

• We use the fact that the conformal group is the relevant symmetry group acting on super horizon scales in an inflationary de Sitter background.
• As a result, we find that super horizon conformal symmetry, constraints the form of the coupling functions $f_1, f_2$ to be homogeneous functions of the same degree.
• We derive the general form of the correlators involving scalar and vector perturbations in this model and determine its squeezed limit scaling behaviour for super horizon scales.