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Remarks on 2D quantum cosmology

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arxiv 2406.15271 v3 pith:BUX27GUL submitted 2024-06-21 hep-th gr-qc

classification hep-thgr-qc
keywords quantumspaceclassicalbangbouncingcosmologicalcosmologyhartle-hawking
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider two-dimensional quantum gravity endowed with a positive cosmological constant and coupled to a conformal field theory of large and positive central charge. We study cosmological properties at the classical and quantum level. We provide a complete ADM analysis of the classical phase space, revealing a family of either bouncing or big bang/crunch type cosmologies. At the quantum level, we solve the Wheeler-DeWitt equation exactly. In the semiclassical limit, we link the Wheeler-DeWitt state space to the classical phase space. Wavefunctionals of the Hartle-Hawking and Vilenkin type are identified, and we uncover a quantum version of the bouncing spacetime. We retrieve the Hartle-Hawking wavefunction from the disk path integral of timelike Liouville theory. To do so, we must select a particular contour in the space of complexified fields. The quantum information content of the big bang cosmology is discussed, and contrasted with the de Sitter horizon entropy as computed by a gravitational path integral over the two-sphere.

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Cited by 7 Pith papers

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

  1. Ising the way into de Sitter

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  4. A microscopic realization of dS$_3$

    hep-th 2025-01 conditional novelty 7.0 of 10

    Pure dS3 quantum gravity is claimed to be dual to the complex Liouville string's matrix integral, with integrated cosmological correlators equal to resolvent correlators and de Sitter entropy equal to 2 log of the eig...

  5. Aspects of Closed Matricial Worlds

    hep-th 2026-07 conditional novelty 6.0 of 10

    Higher-genus corrections to the 2D de Sitter disk path integral follow a universal structure that at large boundary length mimics topological gravity, with new explicit expressions through genus six.

  6. Quantum Liouville Cosmology

    hep-th 2025-12 unverdicted novelty 6.0 of 10

    Timelike Liouville disk path integrals in fixed K-representation produce Hartle-Hawking-like states, a conjecture for all-loop wavefunctions, and a K-independent inner product for 2D quantum cosmology.

  7. Holographic (Eternal) Inflation

    hep-th 2024-11 conditional novelty 6.0 of 10

    Complex mass deformations of ABJM theory yield a holographic wave function for an inflationary universe, dominated by the Hartle-Hawking no-boundary state with a subleading tunneling term.

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