Massive Superparticle with Tensorial Central Charges

Abstract

We construct the manifestly Lorenz-invariant formulation of the N=1 D=4 massive superparticle with tensorial central charges. The model contains a real parameter k and at $k\ne 0$ possesses one $κ$-symmetry while at k=0 the number of $κ$-symmetry is two. The equivalence of the formulations at all $k\ne 0$ is obtained. The local transformations of $κ$-symmetry are written out. It is considered the using of index spinor for construction of the tensorial central charges. It is obtained the equivalence at classical level between the massive D=4 superparticle with one $κ$-symmetry and the massive D=4 spinning particle