Twistor description of spinning particles in AdS

TL;DR

This paper extends the twistor formulation of particle mechanics in AdS spaces to include massless N-extended spinning particles, simplifying gauge invariance and quantum considerations, with detailed supertwistor descriptions.

Contribution

It generalizes the two-twistor formulation to N-extended spinning particles in AdS, providing gauge-invariant variables and detailed supertwistor descriptions, including for massive superparticles.

Findings

Gauge-invariant twistor variables simplify quantum theory analysis.

Extended formulation applies to massless N-extended spinning particles.

Detailed supertwistor form for superparticles in AdS_5.

Abstract

The two-twistor formulation of particle mechanics in D-dimensional anti-de Sitter space for D=4,5,7, which linearises invariance under the AdS isometry group Sp(4;K) for K=R,C,H, is generalized to the massless N-extended "spinning particle". The twistor variables are gauge invariant with respect to the initial N local worldline supersymmetries; this simplifies aspects of the quantum theory such as implications of global gauge anomalies. We also give details of the two-supertwistor form of the superparticle, in particular the massive superparticle on AdS_5.