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Priyadarshi Paul (ICTS-TIFR, Bengaluru)
Date & Time
Fri, 03 May 2024, 11:00 to 12:30
Emmy Noether Seminar Room

We obtain solutions of the Wheeler-DeWitt equation with positive cosmological constant for a closed universe in the large-volume limit. We argue that this space of solutions provides a complete basis for the Hilbert space of quantum gravity in an asymptotically deSitter spacetime. Our solutions take the form of a universal phase factor multiplied by distinct diffeomorphism invariant functionals, with simple Weyl transformation properties, obeying the same Ward identities as a CFT partition function. The Euclidean vacuum corresponds to a specific choice of such a functional but other choices are equally valid. Each functional can be thought of as specifying a “theory” and the space of solutions is like “theory space”. We describe another basis for Hilbert space where all states are represented as excitations of the vacuum that have a specific constrained structure. This gives the finite GN generalization of the basis proposed by Higuchi in terms of group averaging.

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Meeting ID: 973 3575 1789
Passcode: 030304