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Title: Jackiw-Teitelboim and Kantowski-Sachs quantum cosmology
Abstract We study quantum cosmology of the 2DJackiw-Teitelboim (JT) gravity with Λ > 0 and calculate the Hartle-Hawking (HH) wave function for this model in the minisuperspace framework. Our approach is guided by the observation that the JT dynamics can be mapped exactly onto that of the Kantowski-Sachs (KS) model describing a homogeneous universe with spatial sections ofS1×S2topology. This allows us to establish a JT-KS correspondence between the wave functions of the models. We obtain the semiclassical Hartle-Hawking wave function by evaluating the path integral with appropriate boundary conditions and employing the methods of Picard-Lefschetz theory. The JT-KS connection formulas allow us to translate this result to JT gravity, define the HH wave function and obtain a probability distribution for the dilaton field.  more » « less
Award ID(s):
2110466
PAR ID:
10336768
Author(s) / Creator(s):
;
Publisher / Repository:
JCAP
Date Published:
Journal Name:
Journal of Cosmology and Astroparticle Physics
Volume:
2022
Issue:
03
ISSN:
1475-7516
Page Range / eLocation ID:
056
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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