JT Gravity in de Sitter Space and Its Extensions

TL;DR

This paper explores the canonical quantisation of Jackiw-Teitelboim (JT) gravity in de Sitter space, extending methods to a broad class of 2D models, and discusses implications for holography and de Sitter entropy.

Contribution

It extends the canonical quantisation framework of JT gravity to various 2D models with different dilaton potentials, and discusses state construction and holographic aspects.

Findings

Canonical quantisation applied to a broad class of 2D models

Construction of a Hilbert space for de Sitter JT gravity

Insights into de Sitter entropy and holography

Abstract

We discuss and extend some aspects pertaining to the canonical quantisation of JT gravity in de Sitter space, including the problem of time and the construction of a Hilbert space. We then extend this discussion to other two dimensional models obtained by changing the dilaton potential and show that the canonical quantisation procedure can be carried out for a large class of such models. Some discussion leading towards a path integral understanding for states, other than the Hartle Hawking state, is also included here, along with comments pertaining to Holography and the entropy of de Sitter space.