The Hilbert space of de Sitter quantum gravity

par Victor Godet (LapTh)

mercredi 21 juin 2023, 11:00 → 12:00 Europe/Paris

Petit Amphi

I will describe how the Wheeler-DeWitt equation can be solved in the late-time expansion of an asymptotically de Sitter spacetime. The physical states are found to be wavefunctionals with the same symmetries as CFT partition functions, so that the Hilbert space is "theory space". The inner product can be defined using a suitable procedure to gauge-fix the Weyl and diffeomorphism invariance and the residual conformal symmetry imposes dS invariance. I will discuss how cosmological correlators can be interpreted as gauge-fixed observables and satisfy a cosmological version of the holography of information. This is based on arXiv:2303.16315 and arXiv:2303.16316.