Arbitrary Superspin Massive Superparticles

TL;DR

This paper introduces a superparticle model with arbitrary superspin, maintaining super-Poincaré invariance, and explores its Hamiltonian dynamics and quantization, revealing on-shell superfield states for N=1.

Contribution

It presents a new action for massive superparticles with arbitrary superspin, including gauge symmetries and quantization methods, extending previous models.

Findings

Model is super-Poincaré invariant with gauge symmetries.

Physical states for N=1 are on-shell massive chiral superfields.

Generalizations with central charges are provided.

Abstract

We propose the action for a massive $N$-extended superparticle with a pure (half)integer superspin $Y,~Y = 0, 1/2, 1, 3/2, \ldots$. Regardless of the superspin value, the configuration space is ${\Bbb R}^{4|4N} \times S^2$, where $S^2$ corresponds to spinning degrees of freedom. Being explicitly super-Poincar\'e invariant, the model possesses two gauge symmetries implying strong conservation of the squared momentum and superspin. Hamilton constrained dynamics is developed and canonical quantization is studied. For $N$ = 1 we show that the physical super wave-functions are to be on-shell massive chiral superfields. Central-charges generalizations of the model are given.