Regge trajectories for the (2, 0) theories
Résumé
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.
Mots clés
structure
Conformal Field Theory
Nonperturbative Effects
Conformal and W Symmetry
n-point function: 4
tensor: energy-momentum
dimension: 6
supersymmetry: multiplet
multiplet: tensor
Regge poles
conformal
bootstrap
spin
operator product expansion
trajectory
analytic properties
correlation function
Regge
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