Speaker
Description
We use conformal symmetry to constrain the shape of inflationary correlators in the presence
of long-lived vector field perturbations. Applying conformal Ward identities, we derive general
expressions, up to amplitudes and normalization factors, for the two and three point correlators
in the presence of vector fields mediated by the interaction f(?)
Fμ?Fμ? + ? ˜ Fμ?Fμ?
?
, where f(?)
is a suitable coupling function between the scalar and the vector field. The previous interaction
allows for isotropy and parity symmetry breaking and is consistent with super horizon conformal
symmetry. As an application of the conformal field theory techniques followed here, we evaluate
the mixed tensor-scalar h
?i and tensor-scalar-scalar h
??i correlators which are interesting to look
for parity violating effects related with chiral gravitational waves. Finally, we derive consistency
relations for the three point correlators obtained.
