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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

A generalization of the Ferber-Shirafuji formulation of superparticle mechanics is considered. The generalized model describes the dynamics of a superparticle in a superspace extended by tensorial central charge coordinates and commuting…

High Energy Physics - Theory · Physics 2009-10-31 Igor Bandos , Jerzy Lukierski , Dmitri Sorokin

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

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 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 show that the massless higher spin four-dimensional particle model with bosonic counterpart of N=1 supersymmetry respects SU(3,2) invariance. We extend this particle model to a superparticle possessing $SU(3,2|1)$ supersymmetry which is…

High Energy Physics - Theory · Physics 2008-11-26 S. Fedoruk , E. Ivanov , J. Lukierski

We construct, in D=3,4,6 and 10 space-time dimensions, supersymmetric Lagrangians for free massless higher spin fields which belong to reducible representations of the Poincare group.The fermionic part of these models consists of…

High Energy Physics - Theory · Physics 2018-04-04 Dmitri Sorokin , Mirian Tsulaia

A connection between weak and strong tension limits and their perturbative corrections is discussed. New twistor-like models based on D=4, N=1 tensionless superstring and superbrane with tensor central charges are studied. The presence of…

High Energy Physics - Theory · Physics 2011-07-19 A. A. Zheltukhin , D. V. Uvarov

We present a new particle model that describes the dynamics of a $4D,$ $\mathcal{N}{=}\,1$ continuous spin particle in $AdS_4$ superspace and is a generalization of the continuous-spin superparticle model in flat $4D$, $\mathcal{N}{=}\,1$…

High Energy Physics - Theory · Physics 2025-09-19 I. L. Buchbinder , S. A. Fedoruk

We classify the admissible types of constraint (hermitian, holomorphic, with reality conditions on the bosonic sectors, etc.) for generalized supersymmetries in the presence of complex spinors. We further point out which constrained…

High Energy Physics - Theory · Physics 2009-11-11 Zhanna Kuznetsova , Francesco Toppan

We consider a D=4 two-twistor lagrangian for a massive particle that incorporates the mass-shell condition in an algebraic way, and extend it to a two-supertwistor model with N=2 supersymmetry and central charge identified with the mass. In…

High Energy Physics - Theory · Physics 2009-01-27 J. A. de Azcarraga , J. M. Izquierdo , J. Lukierski

(N=2)-superspace without torsion is described, which is equivalent to an 8-space with a discrete internal subspace. A number and a character of ties determine now an internal symmetry group, while in the supersymmetrical models this one is…

High Energy Physics - Theory · Physics 2007-05-23 Michael A. Ivanov

A model for $n$ superparticles in $(d-n,n)$ dimensions is studied. The target space supersymmetry involves a product of $n$ momentum generators, and the action has $n(n+1)/2$ local bosonic symmetries and $n$ local fermionic symmetries. The…

High Energy Physics - Theory · Physics 2009-10-30 I. Rudychev , E. Sezgin

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

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 consider the covariant quantization of the D=11 massless superparticle (M0-brane) in the spinor moving frame or twistor-like Lorentz harmonics formulation. The action involves the set of 16 constrained 32 component Majorana spinors, the…

High Energy Physics - Theory · Physics 2008-11-26 Igor A. Bandos

We elaborate on a new model of the higher-spin (HS) particle which makes manifest the classical equivalence of the HS particle of the unfolded formulation and the HS particle model with a bosonic counterpart of supersymmetry. Both these…

High Energy Physics - Theory · Physics 2008-11-26 Sergey Fedoruk , Evgeny Ivanov

We conjecture how the particle content of the standard model can emerge starting with a supersymmetric Wess-Zumino model in 1+1 dimensions (d = 2) with three real boson and fermion fields. Considering SU(3) transformations, the lagrangian…

High Energy Physics - Phenomenology · Physics 2016-01-12 P. J. Mulders

We consider the massive relativistic particle models on fourdimensional Minkowski space extended by $N$ commuting Weyl spinors for N=1 and N=2. The N=1 model is invariant under the most general form of bosonic counterpart of simple D=4…

High Energy Physics - Theory · Physics 2011-07-19 S. Fedoruk , J. Lukierski

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
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