# Multitwistor mechanics of massless superparticle on $AdS_5\times S^5$ superbackground

## TL;DR

This paper develops a supertwistor formulation for a massless superparticle in the $AdS_5\times S^5$ background, simplifying the model by reducing to four-supertwistors with only first-class constraints, aiding analysis.

## Contribution

It introduces a new supertwistor framework for the superparticle on $AdS_5\times S^5$, connecting it with existing models and highlighting the reduction to a simpler formulation.

## Key findings

- Derived incidence relations with superspace coordinates.
- Established quadratic constraints for supertwistors.
- Reduced eight-supertwistor to four-supertwistor formulation.

## Abstract

Supertwistors relevant to $AdS_5\times S^5$ 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 $AdS_5$ 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 $AdS_5\times S^5$ 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.