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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…

High Energy Physics - Theory · Physics 2007-05-23 Igor Bandos , Jerzy Lukierski

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…

High Energy Physics - Theory · Physics 2009-07-09 Igor Bandos , Jerzy Lukierski

We discuss the dynamics of a superparticle in a superspace whose isometry is generated by the superalgebra OSp(1|4) or its central-charge contraction. Extra coordinates of the superspace associated with tensorial central charges are shown…

High Energy Physics - Theory · Physics 2016-11-23 Igor Bandos , Jerzy Lukierski , Dmitri Sorokin

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…

High Energy Physics - Theory · Physics 2007-05-23 S. Fedoruk , V. G. Zima

We construct the manifestly Lorentz-invariant twistorial formulation of N=1 D=4 superparticle with tensorial central charges which describes massive and massless cases in a uniform manner. The tensorial central charges are realized in terms…

High Energy Physics - Theory · Physics 2014-11-18 S. Fedoruk , V. G. Zima

We extend the Shirafuji model for massless particles with primary spacetime coordinates and composite four-momenta to a model for massive particles with spin and electric charge. The primary variables in the model are the spacetime…

High Energy Physics - Theory · Physics 2007-05-23 Sergey Fedoruk , Andrzej Frydryszak , Jerzy Lukierski , Cèsar Miquel-Espanya

We introduce N=1 supersymmetric generalization of the mechanical system describing a particle with fractional spin in D=1+2 dimensions and being classically equivalent to the formulation based on the Dirac monopole two-form. The model…

High Energy Physics - Theory · Physics 2011-08-12 I. V. Gorbunov , S. M. Kuzenko , S. L. Lyakhovich

We construct the manifestly Lorenz-invariant formulation of the N=1 D=4 massive superparticle with tensorial central charges. The model contains a real parameter k and at $k\ne 0$ possesses one $\kappa$-symmetry while at k=0 the number of…

High Energy Physics - Theory · Physics 2014-11-18 S. Fedoruk , V. G. Zima

We extend the Shirafuji model for massless particles with primary spacetime coordinates and composite four-momenta to a model for massive particles with spin and electric charge. The primary variables in the model are the spacetime…

High Energy Physics - Theory · Physics 2009-11-11 S. Fedoruk , A. Frydryszak , J. Lukierski , C. Miquel-Espanya

A universal model for D=4 spinning particle is constructed with the configuration space chosen as ${\bf R}^{3,1}\times S^2$, where the sphere corresponds to the spinning degrees of freedom. The Lagrangian includes all the possible…

High Energy Physics - Theory · Physics 2008-11-26 S. L. Lyakhovich , A. Yu. Segal , A. A. Sharapov

We show that in the supersymmetry framework described by a Poincar\'{e} superalgebra with tensorial central charges the role of generalized superconformal symmetry which contains all these central charges is played by $OSp(1|2^{k})$, where…

High Energy Physics - Theory · Physics 2007-05-23 Igor Bandos , Jerzy Lukierski , Dmitri Sorokin

Considered is a worldsheet supersymmetric generalization of the D=3 Ferber--Schirafuji twistor--superparticle action.

High Energy Physics - Phenomenology · Physics 2007-05-23 Igor A. Bandos , Aleksey Yu. Nurmagambetov Dmitrij P. Sorokin , Dmitrij V. Volkov

We present D=3 and D=4 models for massive particles moving in a new type of enlarged spacetime, with D-1 additional vector coordinates, which after quantization lead to the towers of massive higher spin (HS) free fields. Two classically…

High Energy Physics - Theory · Physics 2015-03-12 J. A. de Azcarraga , S. Fedoruk , J. M. Izquierdo , J. Lukierski

The conformal symmetry SO(d,2) of the massless particle in d dimensions, or superconformal symmetry OSp(N|4), SU(2,2|N), OSp(8|N) of the superparticle in d=3,4,6 dimensions respectively, had been previously understood as the global Lorentz…

High Energy Physics - Theory · Physics 2009-10-31 Itzhak Bars

It is shown that the quantization of a superparticle propagating in an N=1, D=4 superspace extended with tensorial coordinates results in an infinite tower of massless spin states satisfying the Vasiliev unfolded equations for free higher…

High Energy Physics - Theory · Physics 2010-02-03 Mikhail Plyushchay , Dmitri Sorokin , Mirian Tsulaia

We consider a formulation of N=1 D=3,4 and 6 superparticle mechanics, which is manifestly supersymmetric on the worldline and in the target superspace. For the construction of the action we use only geometrical objects that characterize the…

High Energy Physics - Theory · Physics 2010-04-06 I. Bandos , A. Nurmagambetov , D. Sorokin , D. Volkov

We develop the (super)twistor approach to D$0$-brane, which is the massive type IIA superparticle in ten dimensional spacetime. The basic variables are haxadecuplet of constrained $OSp(32|1)$ supertwistors similar but not identical to the…

High Energy Physics - Theory · Physics 2026-05-28 Igor Bandos , Mirian Tsulaia

The first quantized theory of N=2, D=3 massive superparticles with arbitrary fixed central charge and (half)integer or fractional superspin is constructed. The quantum states are realized on the fields carrying a finite dimensional, or a…

High Energy Physics - Theory · Physics 2009-10-31 I. V. Gorbunov , S. L. Lyakhovich

The two-twistor formulation of particle mechanics in D-dimensional anti-de Sitter space for D=4,5,7, which linearises invariance under the AdS isometry group Sp(4;K) for K=R,C,H, is generalized to the massless N-extended "spinning…

High Energy Physics - Theory · Physics 2018-02-14 Alex S. Arvanitakis , Alec E. Barns-Graham , Paul K. Townsend

We construct simple twistor-like actions describing superparticles propagating on a coset superspace OSp(1|4)/SO(1,3) (containing the D=4 anti-de-Sitter space as a bosonic subspace), on a supergroup manifold OSp(1|4) and, generically, on…

High Energy Physics - Theory · Physics 2008-11-26 Igor Bandos , Jerzy Lukierski , Christian Preitschopf , Dmitri Sorokin
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