3D N = 1 supergravity from Virasoro TQFT: gravitational partition function and Out-of-time-order correlator

Bhattacharyya, ArpanArpanBhattacharyyaGhosh, SaptaswaSaptaswaGhoshNandi, PoulamiPoulamiNandiPal, SounakSounakPal2025-08-312025-08-312025-02-0110.1007/JHEP02(2025)0272-s2.0-85219641183http://repository.iitgn.ac.in/handle/IITG2025/28269In this paper, we compute the partition functions of N = 1 SUGRA for different boundary topologies, i.e. punctured 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.trueAdS-CFT Correspondence | Field Theories in Lower Dimensions | Models of Quantum Gravity | Topological Field Theories3D N = 1 supergravity from Virasoro TQFT: gravitational partition function and Out-of-time-order correlatorArticlehttps://doi.org/10.1007/jhep02(2025)02710298479February 2025227arJournal2WOS:001417489200005