Crossing symmetry for long multiplets in 4D N $$ \mathcal{N} $$ = 1 SCFTs
Abstract In this work we construct the crossing symmetry equations for mixed correlators of two long and two BPS operators in 4D N $$ \mathcal{N} $$ = 1 SCFTs. The analysis presented here illustrates how our general group theoretic approach to long superblocks and tensor structures of superconformal...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-04-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP04(2021)130 |
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| author | Ilija Burić Volker Schomerus Evgeny Sobko |
| author_facet | Ilija Burić Volker Schomerus Evgeny Sobko |
| author_sort | Ilija Burić |
| collection | DOAJ |
| description | Abstract In this work we construct the crossing symmetry equations for mixed correlators of two long and two BPS operators in 4D N $$ \mathcal{N} $$ = 1 SCFTs. The analysis presented here illustrates how our general group theoretic approach to long superblocks and tensor structures of superconformal algebras can be applied to give explicit ready-to-use expressions. In the case at hand, we obtain a system of four crossing symmetry equations for the relevant OPE coefficients. One of these four equations coincides with the equation found and analysed by Li, Meltzer and Stergiou by restricting to the superprimary component of the long multiplets. The other three equations are new and they provide powerful additional constraints on the same OPE data. |
| first_indexed | 2024-12-16T11:59:45Z |
| format | Article |
| id | doaj.art-291161d8935d41b3a0d857b2798dea5f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T11:59:45Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-291161d8935d41b3a0d857b2798dea5f2022-12-21T22:32:28ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021413510.1007/JHEP04(2021)130Crossing symmetry for long multiplets in 4D N $$ \mathcal{N} $$ = 1 SCFTsIlija Burić0Volker Schomerus1Evgeny Sobko2DESYDESYSt. Petersburg Department of V.A. Steklov Mathematical Institute and Euler International Mathematical Institute of the Russian Academy of SciencesAbstract In this work we construct the crossing symmetry equations for mixed correlators of two long and two BPS operators in 4D N $$ \mathcal{N} $$ = 1 SCFTs. The analysis presented here illustrates how our general group theoretic approach to long superblocks and tensor structures of superconformal algebras can be applied to give explicit ready-to-use expressions. In the case at hand, we obtain a system of four crossing symmetry equations for the relevant OPE coefficients. One of these four equations coincides with the equation found and analysed by Li, Meltzer and Stergiou by restricting to the superprimary component of the long multiplets. The other three equations are new and they provide powerful additional constraints on the same OPE data.https://doi.org/10.1007/JHEP04(2021)130Conformal and W SymmetryConformal Field TheoryField Theories in Higher DimensionsSuperspaces |
| spellingShingle | Ilija Burić Volker Schomerus Evgeny Sobko Crossing symmetry for long multiplets in 4D N $$ \mathcal{N} $$ = 1 SCFTs Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory Field Theories in Higher Dimensions Superspaces |
| title | Crossing symmetry for long multiplets in 4D N $$ \mathcal{N} $$ = 1 SCFTs |
| title_full | Crossing symmetry for long multiplets in 4D N $$ \mathcal{N} $$ = 1 SCFTs |
| title_fullStr | Crossing symmetry for long multiplets in 4D N $$ \mathcal{N} $$ = 1 SCFTs |
| title_full_unstemmed | Crossing symmetry for long multiplets in 4D N $$ \mathcal{N} $$ = 1 SCFTs |
| title_short | Crossing symmetry for long multiplets in 4D N $$ \mathcal{N} $$ = 1 SCFTs |
| title_sort | crossing symmetry for long multiplets in 4d n mathcal n 1 scfts |
| topic | Conformal and W Symmetry Conformal Field Theory Field Theories in Higher Dimensions Superspaces |
| url | https://doi.org/10.1007/JHEP04(2021)130 |
| work_keys_str_mv | AT ilijaburic crossingsymmetryforlongmultipletsin4dnmathcaln1scfts AT volkerschomerus crossingsymmetryforlongmultipletsin4dnmathcaln1scfts AT evgenysobko crossingsymmetryforlongmultipletsin4dnmathcaln1scfts |