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 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.

arXiv comment60 pages, 11 figures

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• Bootstrapping holographic defect correlators in $\mathcal{N}=4$ super Yang-Mills
• ABJM at Strong Coupling from M-theory, Localization, and Lorentzian Inversion
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Bootstrapping Monodromy Defects in the Wess-Zumino Model
• 6D (2,0) Bootstrap with soft-Actor-Critic
• Bootstrapping string dynamics in the 6d $\mathcal{N}=(2,0)$ theories
• The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories