Tensorial Central Charges and New Superparticle Models with Fundamental Spinor Coordinates

TL;DR

The paper introduces tensorial central charges in D=4 N=1 supersymmetry and develops both representation-theoretic and dynamical frameworks that realize these charges while preserving Lorentz invariance. A generalized Ferber-Shirafuji construction with fundamental spinor coordinates yields a massless, 3/4-BPS superparticle describable by an OSp(8|1) twistor, and the Rudychev-Sezgin spinor approach is connected to this framework. The work also presents higher-dimensional generalizations with composite central charges in D=10 and D=11 via a spinor-based reduction and an OSp twistor formulation, hinting at a unified treatment of tensorial charges across dimensions. Overall, the results show how tensorial central charges modify supersymmetry representations, enable new BPS configurations, and provide a path toward higher-dimensional twistor descriptions of brane-inspired charges.

Abstract

We consider firstly simple D=4 superalgebra with six real tensorial central charges $Z_{μν}$, 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.