English

Phase space of Jackiw-Teitelboim gravity with positive cosmological constant

High Energy Physics - Theory 2024-12-31 v2 General Relativity and Quantum Cosmology

Abstract

In this paper we construct the classical phase space of Jackiw-Teitelboim gravity with positive cosmological constant on spatial slices with circle topology. This turns out to be somewhat more intricate than in the case of negative cosmological constant; this phase space has many singular points and is not even Hausdorff. Nonetheless, it admits a group-theoretic description which is quite amenable to quantization.

Keywords

Cite

@article{arxiv.2409.12943,
  title  = {Phase space of Jackiw-Teitelboim gravity with positive cosmological constant},
  author = {Elba Alonso-Monsalve and Daniel Harlow and Patrick Jefferson},
  journal= {arXiv preprint arXiv:2409.12943},
  year   = {2024}
}

Comments

29 pages plus appendices, 10 figures. v2: references added, typos corrected, more explanation of the symplectic form calculation