Chandrasekhar Hall

Supersymmetric Localization on dS : Sum over Topologies

Augniva Ray

SINP, Kolkata

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.