  Correlation functions of two long-wavelength modes with several
short-wavelength modes are shown to be related to lower order correlation
functions, using the background wave method, and independently, by exploiting
symmetries of the wavefunction of the Universe. These soft identities follow
from the non-linear extension of the adiabatic modes of Weinberg, and their
generalization by Hinterbichler et. al. The extension is shown to be unique. A
few checks of the identities are presented.
