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.

60 pages, 11 figures

References in corpus (7)

• The Pomeron and Gauge/String Duality
• The Lightcone Bootstrap and the Spectrum of the 3d Ising CFT
• Bootstrapping Mixed Correlators in the 3D Ising Model
• The $\mathcal{N}=8$ Superconformal Bootstrap in Three Dimensions
• Eikonal Methods in AdS/CFT: Regge Theory and Multi-Reggeon Exchange
• Distributions in CFT II. Minkowski Space
• Recursion Relations for Anomalous Dimensions in the 6d $(2,0)$ Theory

Cited by in corpus (7)

• 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