Multitwistor mechanics of massless superparticle on AdS5 × S5 superbackground

• Main Author: D.V. Uvarov
• Format: Article
• Language: English
• Published: Elsevier 2020-01-01
• Series: Nuclear Physics B
• Online Access: http://www.sciencedirect.com/science/article/pii/S0550321319303165

Supertwistors relevant to AdS5×S5 superbackground of IIB supergravity are studied in the framework of the D=10 massless superparticle model in the first-order formulation. Product structure of the background suggests using D=1+4 Lorentz-harmonic variables to express momentum components tangent to AdS5 and D=5 harmonics to express momentum components tangent to S5 that yields eight-supertwistor formulation of the superparticle's Lagrangian. We find incidence relations of the supertwistors with the AdS5×S5 superspace coordinates and the set of the quadratic constraints that supertwistors satisfy. It is shown how using the constraints for the (Lorentz-)harmonic variables it is possible to reduce eight-supertwistor formulation to the four-supertwistor one. Respective supertwistors agree with those introduced previously in other models. Advantage of the four-supertwistor formulation is the presence only of the first-class constraints that facilitates analysis of the superparticle model.