Jackiw-Teitelboim and Kantowski-Sachs quantum cosmology

Abstract

We study quantum cosmology of the $2D$ Jackiw-Teitelboim (JT) gravity with $\Lambda >0$ 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 of $S^1\times S^2$ topology. 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.

arXiv comment43 pages, 6 figures

References in corpus (12)

• Fermionic Localization of the Schwarzian Theory
• Pair Creation of Black Holes During Inflation
• Approaches to Quantum Cosmology
• Lorentzian Quantum Cosmology
• Exact Dirac Quantization of All 2-D Dilaton Gravity Theories
• The Wave Function of Vasiliev's Universe - A Few Slices Thereof
• What is the No-Boundary Wave Function of the Universe?
• Quantum Global Structure of de Sitter Space
• Quantum evolution of near-extremal Reissner-Nordstrom black holes
• Finite-cutoff JT gravity and self-avoiding loops
• Quantum Cosmology of Kantowski-Sachs like Models
• Two Wave Functions and dS/CFT on S^1 x S^2

Cited by in corpus (8)

• Review of the No-Boundary Wave Function
• JT Gravity in de Sitter Space and the Problem of Time
• Resurgence in Lorentzian quantum cosmology: No-boundary saddles and resummation of quantum gravity corrections around tunneling saddle points
• Jackiw-Teitelboim Gravity and Lorentzian Quantum Cosmology
• No smooth spacetime: Exploring primordial perturbations in Lorentzian quantum cosmology
• Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter spacetime
• JT Gravity in de Sitter Space and Its Extensions
• Functional Determinants for Constrained Path Integrals in Minisuperspace Jackiw-Teitelboim Gravity