Lagrangian mechanics of massless superparticle on AdS_4 x CP^3 superbackground

TL;DR

This paper investigates the integrability of a massless superparticle in AdS_4 x CP^3 superspace, providing a Lax pair expression under a specific gauge, advancing understanding of superparticle dynamics in this background.

Contribution

It demonstrates integrability of the superparticle equations in a particular gauge and proposes a Lax pair expression for the AdS_4 x CP^3 superparticle.

Findings

Proves integrability in a partial kappa-symmetry gauge.

Provides an explicit Lax pair expression.

Advances the understanding of superparticle dynamics in AdS_4 x CP^3.

Abstract

Massless superparticle model is considered on the OSp(4|6)/(SO(1,3) x U(3)) supercoset manifold and in the AdS_4 x CP^3 superspace. In the former case integrability of the equations of motion is rather obvious, while for the AdS_4 x CP^3 superparticle we prove integrability in the partial kappa-symmetry gauge for which 4 anticommuting coordinates related to the broken conformal supersymmetry are set to zero. This allows us to propose expression for the Lax pair that may encode complete equations of motion for the AdS_4 x CP^3 superparticle.