Посилання:Twistorial superparticle with tensorial central charges / S.A. Fedoruk, V.G. Zima // Вопросы атомной науки и техники. — 2001. — № 6. — С. 60-64. — Бібліогр.: 14 назв. — англ.
Підтримка:This work was supported in part by INTAS Grant INTAS-2000-254 and by the Ukrainian National Found of Fundamental Researches under the Project № 02.07/383. We would like to thank I.A. Bandos, A. Frydryszak, E.A. Ivanov, S.O. Krivonos, J. Lukierski, A.J. Nurmagambetov and D.P. Sorokin for interest to the work and for many useful discussions.
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.