English

JT Gravity in de Sitter Space and Its Extensions

High Energy Physics - Theory 2026-03-25 v2

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.

Keywords

Cite

@article{arxiv.2501.03148,
  title  = {JT Gravity in de Sitter Space and Its Extensions},
  author = {Indranil Dey and Kanhu Kishore Nanda and Akashdeep Roy and Sunil Kumar Sake and Sandip P. Trivedi},
  journal= {arXiv preprint arXiv:2501.03148},
  year   = {2026}
}

Comments

103 Pages, New subsections and an appendix added, References updated

R2 v1 2026-06-28T20:57:45.685Z