Low-dimensional de Sitter quantum gravity

Cotler, Jordan; Jensen, Kristan; Maloney, Alexander

doi:10.1007/jhep06(2020)048

Title: Low-dimensional de Sitter quantum gravity

Journal Article · Fri Jun 05 00:00:00 EDT 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep06(2020)048· OSTI ID:1802520

Cotler, Jordan ^[1]; Jensen, Kristan ^[2]; Maloney, Alexander ^[3]

Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics
San Francisco State Univ., CA (United States). Dept. of Physics & Astronomy
McGill Univ., Montreal, QC (Canada). Dept of Physics

We study aspects of Jackiw-Teitelboim (JT) quantum gravity in two-dimensional nearly de Sitter (dS) spacetime, as well as pure de Sitter quantum gravity in three dimensions. These are each theories of boundary modes, which include a reparameterization field on each connected component of the boundary as well as topological degrees of freedom. In two dimensions, the boundary theory is closely related to the Schwarzian path integral, and in three dimensions to the quantization of coadjoint orbits of the Virasoro group. Using these boundary theories we compute loop corrections to the wavefunction of the universe, and investigate gravitational contributions to scattering. Along the way, we show that JT gravity in dS2 is an analytic continuation of JT gravity in Euclidean AdS2, and that pure gravity in dS3 is a continuation of pure gravity in Euclidean AdS3. We define a genus expansion for de Sitter JT gravity by summing over higher genus generalizations of surfaces used in the Hartle-Hawking construction. Assuming a conjecture regarding the volumes of moduli spaces of such surfaces, we find that the de Sitter genus expansion is the continuation of the recently discovered AdS genus expansion. Then both may be understood as coming from the genus expansion of the same double-scaled matrix model, which would provide a non-perturbative completion of de Sitter JT gravity.

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Research Organization:: San Francisco State Univ., CA (United States); Univ. of California, Oakland, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0013682; SC0019380

OSTI ID:: 1802520

Journal Information:: Journal of High Energy Physics (Online), Vol. 2020, Issue 6; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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