Regge trajectories for the (2, 0) theories
Abstract We investigate the structure of conformal Regge trajectories for the maximally supersymmetric (2, 0) theories in six dimensions. The different conformal multiplets in a single superconformal multiplet must all have similarly-shaped Regge trajectories. We show that these super-descendant tra...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2022)022 |
| _version_ | 1798034499060105216 |
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| author | Madalena Lemos Balt C. van Rees Xiang Zhao |
| author_facet | Madalena Lemos Balt C. van Rees Xiang Zhao |
| author_sort | Madalena Lemos |
| collection | DOAJ |
| description | Abstract We investigate the structure of conformal Regge trajectories for the maximally supersymmetric (2, 0) theories in six dimensions. The different conformal multiplets in a single superconformal multiplet must all have similarly-shaped Regge trajectories. We show that these super-descendant trajectories interact in interesting ways, leading to new constraints on their shape. For the four-point function of the stress tensor multiplet supersymmetry also softens the Regge behavior in some channels, and consequently we observe that ‘analyticity in spin’ holds for all spins greater than −3. All the physical operators in this correlator therefore lie on Regge trajectories and we describe an iterative scheme where the Lorentzian inversion formula can be used to bootstrap the four-point function. Some numerical experiments yield promising results, with OPE data approaching the numerical bootstrap results for all theories with rank greater than one. |
| first_indexed | 2024-04-11T20:45:01Z |
| format | Article |
| id | doaj.art-183d10cf6a074fb0a165df131ac0cc0a |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T20:45:01Z |
| publishDate | 2022-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-183d10cf6a074fb0a165df131ac0cc0a2022-12-22T04:04:03ZengSpringerOpenJournal of High Energy Physics1029-84792022-01-012022115710.1007/JHEP01(2022)022Regge trajectories for the (2, 0) theoriesMadalena Lemos0Balt C. van Rees1Xiang Zhao2Department of Mathematical Sciences, Durham UniversityCPHT, CNRS, Ecole Polytechnique, Institut Polytechnique de ParisCPHT, CNRS, Ecole Polytechnique, Institut Polytechnique de ParisAbstract We investigate the structure of conformal Regge trajectories for the maximally supersymmetric (2, 0) theories in six dimensions. The different conformal multiplets in a single superconformal multiplet must all have similarly-shaped Regge trajectories. We show that these super-descendant trajectories interact in interesting ways, leading to new constraints on their shape. For the four-point function of the stress tensor multiplet supersymmetry also softens the Regge behavior in some channels, and consequently we observe that ‘analyticity in spin’ holds for all spins greater than −3. All the physical operators in this correlator therefore lie on Regge trajectories and we describe an iterative scheme where the Lorentzian inversion formula can be used to bootstrap the four-point function. Some numerical experiments yield promising results, with OPE data approaching the numerical bootstrap results for all theories with rank greater than one.https://doi.org/10.1007/JHEP01(2022)022Conformal Field TheoryNonperturbative EffectsConformal and W Symmetry |
| spellingShingle | Madalena Lemos Balt C. van Rees Xiang Zhao Regge trajectories for the (2, 0) theories Journal of High Energy Physics Conformal Field Theory Nonperturbative Effects Conformal and W Symmetry |
| title | Regge trajectories for the (2, 0) theories |
| title_full | Regge trajectories for the (2, 0) theories |
| title_fullStr | Regge trajectories for the (2, 0) theories |
| title_full_unstemmed | Regge trajectories for the (2, 0) theories |
| title_short | Regge trajectories for the (2, 0) theories |
| title_sort | regge trajectories for the 2 0 theories |
| topic | Conformal Field Theory Nonperturbative Effects Conformal and W Symmetry |
| url | https://doi.org/10.1007/JHEP01(2022)022 |
| work_keys_str_mv | AT madalenalemos reggetrajectoriesforthe20theories AT baltcvanrees reggetrajectoriesforthe20theories AT xiangzhao reggetrajectoriesforthe20theories |