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Low-dimensional de Sitter quantum gravity | Jordan Cotler
; Kristan Jensen
; Alex Maloney
; | Date: |
9 May 2019 | Abstract: | 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 dS$_2$ is an analytic continuation of JT gravity in
Euclidean AdS$_2$, and that pure gravity in dS$_3$ is a continuation of pure
gravity in Euclidean AdS$_3$. 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. | Source: | arXiv, 1905.3780 | Services: | Forum | Review | PDF | Favorites |
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