Bootstrapping N=3 superconformal theories
We initiate the bootstrap program for N= 3 superconformal field theories (SCFTs) in four dimensions. The problem is considered from two fronts: the protected subsector described by a 2d chiral algebra, and crossing symmetry for half-BPS operators whose superconformal primaries parametrize the Coulom...
| Main Authors: | , , , |
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| פורמט: | Journal article |
| יצא לאור: |
Springer Verlag
2017
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| _version_ | 1826286125500596224 |
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| author | Lemos, M Liendo, P Meneghelli, C Mitev, V |
| author_facet | Lemos, M Liendo, P Meneghelli, C Mitev, V |
| author_sort | Lemos, M |
| collection | OXFORD |
| description | We initiate the bootstrap program for N= 3 superconformal field theories (SCFTs) in four dimensions. The problem is considered from two fronts: the protected subsector described by a 2d chiral algebra, and crossing symmetry for half-BPS operators whose superconformal primaries parametrize the Coulomb branch of N= 3 theories. With the goal of describing a protected subsector of a family of N= 3 SCFTs, we propose a new 2d chiral algebra with super Virasoro symmetry that depends on an arbitrary parameter, identified with the central charge of the theory. Turning to the crossing equations, we work out the superconformal block expansion and apply standard numerical bootstrap techniques in order to constrain the CFT data. We obtain bounds valid for any theory but also, thanks to input from the chiral algebra results, we are able to exclude solutions with N= 4 supersymmetry,allowingustozoominonaspecific N= 3 SCFT. |
| first_indexed | 2024-03-07T01:39:08Z |
| format | Journal article |
| id | oxford-uuid:96394ad4-0694-4b47-af5a-d63571cc32aa |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:39:08Z |
| publishDate | 2017 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:96394ad4-0694-4b47-af5a-d63571cc32aa2022-03-26T23:51:38ZBootstrapping N=3 superconformal theoriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:96394ad4-0694-4b47-af5a-d63571cc32aaSymplectic Elements at OxfordSpringer Verlag2017Lemos, MLiendo, PMeneghelli, CMitev, VWe initiate the bootstrap program for N= 3 superconformal field theories (SCFTs) in four dimensions. The problem is considered from two fronts: the protected subsector described by a 2d chiral algebra, and crossing symmetry for half-BPS operators whose superconformal primaries parametrize the Coulomb branch of N= 3 theories. With the goal of describing a protected subsector of a family of N= 3 SCFTs, we propose a new 2d chiral algebra with super Virasoro symmetry that depends on an arbitrary parameter, identified with the central charge of the theory. Turning to the crossing equations, we work out the superconformal block expansion and apply standard numerical bootstrap techniques in order to constrain the CFT data. We obtain bounds valid for any theory but also, thanks to input from the chiral algebra results, we are able to exclude solutions with N= 4 supersymmetry,allowingustozoominonaspecific N= 3 SCFT. |
| spellingShingle | Lemos, M Liendo, P Meneghelli, C Mitev, V Bootstrapping N=3 superconformal theories |
| title | Bootstrapping N=3 superconformal theories |
| title_full | Bootstrapping N=3 superconformal theories |
| title_fullStr | Bootstrapping N=3 superconformal theories |
| title_full_unstemmed | Bootstrapping N=3 superconformal theories |
| title_short | Bootstrapping N=3 superconformal theories |
| title_sort | bootstrapping n 3 superconformal theories |
| work_keys_str_mv | AT lemosm bootstrappingn3superconformaltheories AT liendop bootstrappingn3superconformaltheories AT meneghellic bootstrappingn3superconformaltheories AT mitevv bootstrappingn3superconformaltheories |