Tensorial Central Charges and New Superparticle Models with Fundamental Spinor Coordinates

TL;DR

This paper introduces new superparticle models with tensorial central charges in four and higher dimensions, utilizing fundamental bosonic spinor coordinates to preserve Lorentz invariance and explore BPS states.

Contribution

It presents a novel superparticle model with tensorial central charges realized via bosonic spinors, including a higher-dimensional generalization and connections to supertwistor formulations.

Findings

Model preserves 3/4 supersymmetry (BPS state)

Physical degrees of freedom described by OSp(8|1) supertwistor

Higher-dimensional models include massless superparticle and dynamical mass generation for mass

Abstract

We consider firstly simple D=4 superalgebra with six real tensorial central charges $Z_{\mu\nu}$, and discuss its possible realizations in massive and massless cases. Massless case is dynamically realized by generalized Ferber-Shirafuji (FS) model with fundamental bosonic spinor coordinates. The Lorentz invariance is not broken due to the realization of central charges generators in terms of bosonic spinors. 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. The relation with recent superparticle model by Rudychev and Sezgin is pointed out. Finally 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.