New Superparticle Models Outside the HLS Supersymmetry Scheme
Abstract
Description
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.
14 pages, Latex, no figures. To be published in the Proceedings of 12-th Max Born Symposium: Theoretical Physics - Fin de Siecle, held 24-27.09.1998 in Wroclaw (Poland), ed. by A. Borowiec, B. Jancewicz, W. Karwowski and W. Cegla, Springer Verlag. Few misprints corrected
14 pages, Latex, no figures. To be published in the Proceedings of 12-th Max Born Symposium: Theoretical Physics - Fin de Siecle, held 24-27.09.1998 in Wroclaw (Poland), ed. by A. Borowiec, B. Jancewicz, W. Karwowski and W. Cegla, Springer Verlag. Few misprints corrected