On the Initial State and Consistency Relations
  We study the effect of the initial state on the consistency conditions for
adiabatic perturbations. In order to be consistent with the constraints of
General Relativity, the initial state must be diffeomorphism invariant. As a
result, we show that initial wavefunctional/density matrix has to satisfy a
Slavnov-Taylor identity similar to that of the action. We then investigate the
precise ways in which modified initial states can lead to violations of the
consistency relations. We find two independent sources of violations: i) the
state can include initial non-Gaussianities; ii) even if the initial state is
Gaussian, such as a Bogoliubov state, the modified 2-point function can modify
the q->0 analyticity properties of the vertex functional and result in
violations of the consistency relations.
