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This paper advances theoretical frameworks in quantum gravity by deriving partition functions for $\mathcal{N}=1$ supergravity using super-Virasoro topological quantum field theory. The study specifically calculates out-of-time-order correlators to probe chaos and information scrambling within these gravitational models, offering new insights into the interplay between topology and quantum dynamics.

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3D $\mathcal{N}=1$ supergravity from Virasoro TQFT: Gravitational partition function and Out-of-time-order correlator

arXivSeptember 9, 20261 min read

arXiv:2408.01538v3 Announce Type: replace-cross Abstract: In this paper, we compute the partition functions of $\mathcal{N}=1$ SUGRA for different boundary topologies, i.e. \textcolor{black}{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.

Abstract:In this paper, we compute the partition functions of $\mathcal{N}=1$ SUGRA for different boundary topologies, i.e. \textcolor{black}{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.

arXiv:2408.01538 [hep-th]

(or arXiv:2408.01538v3 [hep-th] for this version)

https://doi.org/10.1007/JHEP02%282025%29027 DOI(s) linking to related resources

From: Sounak Pal Mr. [view email] [v1] Fri, 2 Aug 2024 18:49:31 UTC (1,365 KB) [v2] Tue, 7 Jan 2025 12:51:40 UTC (1,447 KB) [v3] Sat, 5 Sep 2026 07:22:57 UTC (595 KB)

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