D-dimensional massless particle with extended gauge invariance

Details D-dimensional massless particle with extended gauge invariance D-dimensional massless particle with extended gauge invariance

2000-09-27

arxiv.org/abs/hep-th/0009216v1

Czech.J.Phys. 50 (2000) 1309-1315

Physics

High Energy Physics

High Energy Physics - Theory

5pages, Talk given at IX Colloquium on Quantum groups and Integrable models (June 22-24, 2000, Prague)

Scientific paper

10.1023/A:1022829511913

We propose the model of $D-$dimensional massless particle whose Lagrangian is given by the $N-$th extrinsic curvature of world-line. The system has $N+1$ gauge degrees of freedom constituting $W-$like algebra; the classical trajectories of the model are space-like curves which obey the conditions $k_{N+a}=k_{N-a}$, $k_{2N}=0$, $a=1,...,N-1$, $N\leq[(D-2)/2]$, while the first $N$ curvatures $k_i$ remain arbitrary. We show that the model admits consistent formulation on the anti-De Sitter space. The solutions of the system are the massless irreducible representations of Poincar\'e group with $N$ nonzero helicities, which are equal to each other.

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