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The Hilbert space of de Sitter quantum gravity

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arxiv 2303.16315 v2 pith:2W7IUFSL submitted 2023-03-28 hep-th

Tuneer Chakraborty , Joydeep Chakravarty , Victor Godet , Priyadarshi Paul , Suvrat Raju This is my paper
classification hep-th
keywords spacesolutionsbasishilbertfunctionalgravitylimitquantum
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abstract

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 de Sitter spacetime. Our solutions take the form of a universal phase factor multiplied by distinct diffeomorphism invariant functionals, with simple Weyl transformation properties, that obey 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, in this sense, the space of solutions is like "theory space". We describe another basis for the Hilbert space where all states are represented as excitations of the vacuum that have a specific constrained structure. This gives the finite $G_N$ generalization of the basis proposed by Higuchi in terms of group averaging, which we recover in the nongravitational limit.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Norm of the no-boundary state

    hep-th 2025-06 conditional novelty 7.0 of 10

    At one loop and late time, the norm of the Hartle-Hawking no-boundary state vanishes as e^{S0}/(vol(SO(d,1)) S0^{d(d+1)/4}), and adding an observer stabilizes it to a large positive value.

  2. Holographic timelike complexity for de Sitter

    hep-th 2026-07 conditional novelty 6.0 of 10

    Timelike subregion volume complexity in de Sitter grows exponentially early and diverges hyperfast at a maximal duration; near the SdS black hole horizon the divergence is replaced by slower, claimed-nonlinear growth.

  3. Birth of Inflationary Universes via Wineglass Wormholes and their No-Boundary Relatives

    hep-th 2026-05 unverdicted novelty 6.0 of 10

    Wineglass wormholes with a local maximum in the scale factor mediate the birth of inflationary spacetimes and split into background plus no-boundary geometries at small axionic or magnetic charge.

  4. Cosmological correlators in gravitationally-constrained de Sitter states

    hep-th 2025-07 conditional novelty 6.0 of 10

    Cosmological correlators in gravitationally constrained de Sitter states are conformally invariant and differ from QFT vacuum correlators, but relational observables with a heavy background state can reproduce QFT results.

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