On the Quantization of Massive Superparticles

TL;DR

This paper investigates the quantization of a superparticle derived from a wrapped supermembrane in eleven dimensions, revealing a covariant quantization method and a specific ultrashort multiplet structure.

Contribution

It introduces a covariant quantization approach for a superparticle with central charges, derived from a wrapped supermembrane, and characterizes its multiplet structure.

Findings

Covariant quantization of the superparticle system achieved.

Identified a supermultiplet with 2^8 states.

Connected supermembrane wrapping to superparticle dynamics.

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.