English

Supersymmetric Localization on dS: Sum over topologies

High Energy Physics - Theory 2020-09-29 v3 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

We find the exact quantum gravity partition function on the static patch of 3d de Sitter spacetime. We have worked in the Chern Simons Formulation of 3d Gravity. To obtain a non-perturbative result, we supersymmetrized the Chern Simons action and used the technique of supersymmetric localization. We have obtained an exact non-perturbative result for the spin-2 gravity case. We comment on the divergences present in the theory. We also comment on higher spin gravity theories and analyse the nature of divergences present in such theories.

Keywords

Cite

@article{arxiv.1911.07480,
  title  = {Supersymmetric Localization on dS: Sum over topologies},
  author = {Rudranil Basu and Augniva Ray},
  journal= {arXiv preprint arXiv:1911.07480},
  year   = {2020}
}

Comments

Version accepted for publication in EPJ C. Comments are welcome

R2 v1 2026-06-23T12:18:53.532Z