Jackiw-Teitelboim Gravity in the Second Order Formalism

Understand

We formulate the path integral for Jackiw-Teitelboim gravity in the second order formalism working directly with the metric and the dilaton.

• We consider the theory both in Anti-de Sitter(AdS) and de Sitter space(dS) and analyze the path integral for the disk topology and the "double trumpet" topology with two boundaries.
• We also consider its behavior in the presence of conformal matter.
• In the dS case the path integral evaluates the wavefunction of the universe which arises in the no-boundary proposal.