Cosmological correlators in gravitationally-constrained de Sitter states

We study perturbative cosmological correlators in states obtained by solving the Wheeler-DeWitt equation in asymptotically de Sitter spacetimes as constructed in arxiv:2303.16315. Even in the $G_N \rightarrow 0$ limit, it is necessary to impose the gravitational Gauss law, which forces these states to be de Sitter invariant. We set up Feynman rules for computing cosmological correlators in such states. We enumerate some necessary (but not sufficient) conditions that must be imposed on states and observables to avoid group-volume divergences. We provide sample computations to show that these cosmological correlators can take on interesting de Sitter invariant forms even when the Hartle-Hawking wavefunction is Gaussian. We show that, in the presence of a heavy background state, it is possible to construct a class of state-dependent relational observables whose values approximate cosmological correlators in the Hartle-Hawking state.
(-Work in progress with Suvrat Raju(ICTS) and Tuneer Chakraborty(TIFR))

You can also attend them online via Zoom. 
Meeting ID: 856 7004 9147
Passcode: 247021