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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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)027 |
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| author | Arpan Bhattacharyya Saptaswa Ghosh Poulami Nandi Sounak Pal |
| author_facet | Arpan Bhattacharyya Saptaswa Ghosh Poulami Nandi Sounak Pal |
| author_sort | Arpan Bhattacharyya |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-223714148dc84d7695cf6be515276789 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-223714148dc84d7695cf6be5152767892025-02-09T12:08:29ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025215110.1007/JHEP02(2025)0273D N $$ \mathcal{N} $$ = 1 supergravity from Virasoro TQFT: gravitational partition function and Out-of-time-order correlatorArpan Bhattacharyya0Saptaswa Ghosh1Poulami Nandi2Sounak Pal3Indian Institute of TechnologyIndian Institute of TechnologyDavid Rittenhouse Laboratory, University of PennsylvaniaIndian Institute of TechnologyAbstract 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.https://doi.org/10.1007/JHEP02(2025)027AdS-CFT CorrespondenceTopological Field TheoriesField Theories in Lower DimensionsModels of Quantum Gravity |
| spellingShingle | Arpan Bhattacharyya Saptaswa Ghosh Poulami Nandi Sounak Pal 3D N $$ \mathcal{N} $$ = 1 supergravity from Virasoro TQFT: gravitational partition function and Out-of-time-order correlator Journal of High Energy Physics AdS-CFT Correspondence Topological Field Theories Field Theories in Lower Dimensions Models of Quantum Gravity |
| title | 3D N $$ \mathcal{N} $$ = 1 supergravity from Virasoro TQFT: gravitational partition function and Out-of-time-order correlator |
| title_full | 3D N $$ \mathcal{N} $$ = 1 supergravity from Virasoro TQFT: gravitational partition function and Out-of-time-order correlator |
| title_fullStr | 3D N $$ \mathcal{N} $$ = 1 supergravity from Virasoro TQFT: gravitational partition function and Out-of-time-order correlator |
| title_full_unstemmed | 3D N $$ \mathcal{N} $$ = 1 supergravity from Virasoro TQFT: gravitational partition function and Out-of-time-order correlator |
| title_short | 3D N $$ \mathcal{N} $$ = 1 supergravity from Virasoro TQFT: gravitational partition function and Out-of-time-order correlator |
| title_sort | 3d n mathcal n 1 supergravity from virasoro tqft gravitational partition function and out of time order correlator |
| topic | AdS-CFT Correspondence Topological Field Theories Field Theories in Lower Dimensions Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP02(2025)027 |
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