3D N $$ \mathcal{N} $$ = 1 supergravity from Virasoro TQFT: gravitational partition function and Out-of-time-order correlator
Abstract In this paper, we compute the partition functions of N $$ \mathcal{N} $$ = 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 a...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2025)027 |
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| Summary: | Abstract In this paper, we compute the partition functions of N $$ \mathcal{N} $$ = 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. |
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| ISSN: | 1029-8479 |