Regular Article - Theoretical Physics
Supersymmetric localization on dS: sum over topologies
Center for the Fundamental Laws of Nature, Harvard University, 02138, Cambridge, MA, USA
2 BITS-Pilani, KK Birla Goa Campus, NH 17B, Bypass Road, 403726, Zuarinagar, Goa, India
3 Theory Division, Saha Institute of Nuclear Physics, HBNI, 1/AF Bidhan Nagar, 700064, Kolkata, India
Accepted: 11 September 2020
Published online: 24 September 2020
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.
© The Author(s) 2020
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