Twistorial superparticle with tensorial central charges

Abstract

A twistorial formulation of the N=1 D=4 superparticle with tensorial central charges describing massive and massless cases in uniform manner is given. The twistors resolve energy-momentum vector whereas the tensorial central charges are written in term of spinor Lorentz harmonics. The model makes possible to describe states preserving all allowed fractions of target-space supersymmetry. The full analysis of the number of conserved supersymmetries in models with N=1 D=4 superalgebra with tensorial central charges has been carried out.

11 pages, LATEX, presented at the Int. Conf. QEDSP 2001, dedicated to the 90th anniversary of A.I.Akhiezer, Oct. 30 - Nov. 3, 2001