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D-dimensional massless particle with extended gauge invariance

A. Nersessian
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Abstract

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 Poincaré group with $N$ nonzero helicities, which are equal to each other.

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A. Nersessian. 2000-09-27. D-dimensional massless particle with extended gauge invariance. https://doi.org/10.1023/a%3A1022829511913

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