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Regge trajectories for the (2,0) theories

Lemos, Madalena; van Rees, Balt C.; Zhao, Xiang

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Authors

Balt C. van Rees

Xiang Zhao



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.

Citation

Lemos, M., van Rees, B. C., & Zhao, X. (2022). Regge trajectories for the (2,0) theories. Journal of High Energy Physics, 2022, Article 22. https://doi.org/10.1007/jhep01%282022%29022

Journal Article Type Article
Acceptance Date Dec 15, 2021
Online Publication Date Jan 7, 2022
Publication Date 2022
Deposit Date Dec 21, 2021
Publicly Available Date Jan 10, 2022
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2022
Article Number 22
DOI https://doi.org/10.1007/jhep01%282022%29022

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.







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