Multitwistor mechanics of massless superparticle on \(AdS_5 \times S^5\) superbackground

DOI10.1016/J.NUCLPHYSB.2019.114830zbMATH Open1472.83019arXiv1907.13613OpenAlexW2965783511MaRDI QIDQ2230084

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Publication date: 17 September 2021

Published in: (Search for Journal in Brave)

Abstract: Supertwistors relevant to $Ad{S}_{5}imes{S}^5$ 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 $Ad{S}_5$ and $D=5$ harmonics to express momentum components tangent to $S^5$ that yields eight-supertwistor formulation of the superparticle's Lagrangian. We find incidence relations of the supertwistors with the $Ad{S}_{5}imes{S}^5$ superspace coordinates and the set of the quadratic constraints they 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.

Full work available at URL: https://arxiv.org/abs/1907.13613

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