Inflationary soft theorems revisited: A generalized consistency relation

Understand

We reconsider the derivation of soft theorems associated with nonlinearly-realized symmetries in cosmology.

• Utilizing the path integral, we derive a generalized consistency relation that relates a squeezed $(N+1)$-point correlation function to an $N$-point function, where the relevant soft mode is at early rather than late time.
• This generalized (early-late-time) version has wider applicability than the standard consistency relation where all modes are evaluated at late times.
• We elucidate the conditions under which the latter follows from the former.