The Cosmological Slavnov-Taylor Identity from BRST Symmetry in Single-Field Inflation
by
Andrea Quadri
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Europe/Rome
131 (Building C, ground floor)
131
Building C, ground floor
Description
The cosmological Slavnov-Taylor (ST) identity of the Einstein-Hilbert action coupled to a single inflaton field is obtained from the Becchi-Rouet-Stora-Tyutin (BRST) symmetry associated with diffeomorphism invariance. The analysis is carried out in the Arnowitt-Deser-Misner (ADM) formalism. The consistency conditions between the correlators of the scalar and tensor modes in the squeezed limit are then derived from the ST identity, together with the softly broken conformal symmetry. Maldacena's original relations connecting the 2- and 3-point correlators at horizon crossing are recovered, as well as the
next-to-leading corrections, controlled by the special conformal transformations.
