New Superparticle Models Outside the HLS Supersymmetry Scheme

TL;DR

This paper introduces new superparticle models invariant under extended supersymmetries with tensorial central charges, generalizing existing models and exploring their properties in various dimensions, including D=10 and D=11, with implications for supersymmetry preservation.

Contribution

The paper presents novel superparticle models outside the traditional HLS supersymmetry scheme, including higher-dimensional generalizations and twistor-like formulations.

Findings

Model with 3/4 supersymmetry preservation using OSp(8|1) supertwistor.

D=10 superparticle with composite tensorial central charges.

D=11 superbrane with dynamically generated mass.

Abstract

We consider the superparticle models invariant under the supersymmetries with tensorial central charges, which were not included in D=4 Haag-Lopuszanski-Sohnius (HLS) supersymmetry scheme. We present firstly a generalization of D=4 Ferber-Shirafuji (FS) model with fundamental bosonic spinors and tensorial central charge coordinates. The model contains four fermionic coordinates and possesses three kappa- symmetries thus providing the BPS configuration preserving 3/4 of the target space supersymmetries. We show that the physical degrees of freedom (8 real bosonic and 1 real Grassmann variable) of our model can be described by OSp(8|1) supertwistor. Then we propose a higher dimensional generalization of our model with one real fundamental bosonic spinor. D=10 model describes massless superparticle with composite tensorial central charges and in D=11 we obtain 0-superbrane model with nonvanishing mass which is generated dynamically. The introduction of D=11 Lorentz harmonics provides the possibility to construct massless D=11 superparticle model which can be formulated in a way preserving 1/2, 17/32, 18/32,..., 31/32 supersymmetries. In a special case we obtain the twistor-like formulation of the usual massless D=11 superparticle proposed recently by Bergshoeff and Townsend.