Bhattacharyya, ArpanArpanBhattacharyyaGhosh, SaptaswaSaptaswaGhoshNandi, PoulamiPoulamiNandiPal, SounakSounakPal2025-08-222025-08-222024-08-012331-8422http://arxiv.org/abs/2408.01538https://d8.irins.org/handle/IITG2025/18493In this paper, we compute the partition functions of N=1 SUGRA for different boundary topologies, i.e. sphere and torus, using super-Virasoro TQFT. We use fusion and modular kernels of the super-Liouville theory to compute the necklace-channel conformal block and showcase formalism by proving that the inner product holds for superconformal blocks, defined as states in the Hilbert space. Finally, we compute the out-of-time-order correlator for the torus topology with superconformal primary insertions as matter using the tools of super-Virasoro TQFT and investigate its early-time behaviour.en-USe-Printe-Print123456789/615