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On the Quantization of Massive Superparticles

N. Hatcher·A. Restuccia·J. Stephany
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Abstract

We consider the action of the D=11 supermembrane wrapping a compactified sector of the target space in such a way that a non trivial central charge in the SUSY algebra is induced. We show that the dynamics of the center of mass corresponds to a superparticle in D=9 with additional fermionic terms associated to the central charges . We perform the covariant quantization of this system following a direct approach which introduces an equivalent action for the system which has only first class constraints allowing to obtain the space of physical states in a covariant way. The resulting multiplet contains $2^8$ states corresponding to a $KKB$ ultrashort multiplet.

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N. Hatcher, A. Restuccia, J. Stephany. 2006-10-13. On the Quantization of Massive Superparticles. https://arxiv.org/abs/hep-th/0506042

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