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Regge trajectories for the (2, 0) theories

Authors :: Madalena Lemos
Xiang Zhao
Balt Van Rees
Centre de Physique Théorique [Palaiseau] (CPHT)
École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS)
Centre National de la Recherche Scientifique (CNRS)-École polytechnique (X)
Source :: Journal of High Energy Physics, Journal of High Energy Physics, Vol 2022, Iss 1, Pp 1-57 (2022), Journal of High Energy Physics, 2022, Vol.2022, pp.022 [Peer Reviewed Journal], JHEP, JHEP, 2022, 01, pp.022. ⟨10.1007/JHEP01(2022)022⟩
Publication Year :: 2022
Publisher :: Springer, 2022.
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.<br />Comment: 60 pages, 11 figures