77 citations · 222 across the 26 of their papers we have counts for
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Gauge semi-simple extension of the Poincaré group
Dmitrij V. Soroka, Vyacheslav A. Soroka
Based on the gauge semi-simple tensor extension of the Poincaré group another alternative approach to the cosmological term problem is proposed.
Semi-simple -extended super-Poincaré algebra
Dmitrij V. Soroka, Vyacheslav A. Soroka
A semi-simple tensor extension of the Poincaré algebra is given for the arbitrary dimensions . It is illustrated that this extension is a direct sum of the -dimensional Loren…
Multiplet containing components with different masses
D. V. Soroka, V. A. Soroka
A principle possibility for the existence of a multiplet including the components with the different masses is indicated. This paper is dedicated to the memory of Anna Yakovlevna G…
Nambu-like odd brackets on supermanifolds
Dmitrij V. Soroka, Vyacheslav A. Soroka
The Grassmann-odd Nambu-like brackets corresponding to an arbitrary Lie superalgebra and realized on the supermanifolds are proposed.
Nambu-like odd bracket on Grassmann algebra
Dmitrij V. Soroka, Vyacheslav A. Soroka
The Grassmann-odd Nambu-like bracket corresponding to an arbitrary Lie algebra and realized on the Grassmann algebra is proposed.
Odd Nambu bracket on Grassmann algebra
Dmitrij V. Soroka, Vyacheslav A. Soroka
The Grassmann-odd Nambu bracket on the Grassmann algebra is proposed.
Semi-simple extension of the (super)Poincaré algebra
Dmitrij V. Soroka, Vyacheslav A. Soroka
A semi-simple tensor extension of the Poincaré algebra is proposed for the arbitrary dimensions . A supersymmetric also semi-simple generalization of this extension is construct…
Poisson-Lie Odd Bracket on Grassmann Algebra
Dmitrij V. Soroka, Vyacheslav A. Soroka
This paper was withdrawn by the editors of SIGMA as it essentially coincides with Phys. Lett. B 451 (1999), no. 3-4, 349-353.
Poincare Algebra Extension with Tensor Generator
Dmitrij V. Soroka, Vyacheslav A. Soroka
A tensor extension of the Poincaré algebra is proposed for the arbitrary dimensions. Casimir operators of the extension are constructed. A possible supersymmetric generalization of…
Multiplet with components of different masses
Dmitrij V. Soroka, Vyacheslav A. Soroka
A principle possibility for the existence of a multiplet including the components with the different masses is indicated. This paper is dedicated to the memory of Anna Yakovlevna G…
Reply to Professor Peter van Nieuwenhuizen in connection with hep-th/0408137
Vyacheslav A. Soroka
I reply to Professor Peter van Nieuwenhuizen in connection with hep-th/0408137
Tensor extension of the Poincaré algebra
Dmitrij V. Soroka, Vyacheslav A. Soroka
A tensor extension of the Poincaré algebra is proposed for the arbitrary dimensions. Casimir operators of the extension are constructed. A possible supersymmetric generalization of…
Superspace Generalizations of Schouten-Nijenhuis Bracket
Dmitrij V. Soroka, Vyacheslav A. Soroka
The Schouten-Nijenhuis bracket is generalized for the superspace case and for the Poisson brackets of opposite Grassmann parities.
Generalizations of Schouten-Nijenhuis Bracket
Dmitrij V. Soroka, Vyacheslav A. Soroka
The Schouten-Nijenhuis bracket is generalized for the superspace case and for the Poisson brackets of opposite Grassmann parities.
Generalizations for Schouten-Nijenhuis Bracket and for Differential Analog of Special Yang-Baxter Equations
Dmitrij V. Soroka, Vyacheslav A. Soroka
The Schouten-Nijenhuis bracket is generalized for the superspace case and for the Poisson brackets of opposite Grassmann parities. Quite a number of generalizations for the differe…
Exterior Differentials in Superspace and Poisson Brackets
Dmitrij V. Soroka, Vyacheslav A. Soroka
It is shown that two definitions for an exterior differential in superspace, giving the same exterior calculus, yet lead to different results when applied to the Poisson bracket. A…
Supersymmetry and the Odd Poisson Bracket
Vyacheslav A. Soroka
Some applications of the odd Poisson bracket developed by Kharkov's theorists are represented, including the reformulation of classical Hamiltonian dynamics, the description of hyd…
The Sources of Supergravity
Vyacheslav A. Soroka
Recollections on how the basic concepts and ingredients of supergravity were formulated by Dmitrij V. Volkov and the present author in 1973-74.
Starting--point of Supergravity
Vyacheslav A. Soroka
In this report I wish to recall how the basic concepts and ingredients of supergravity were formulated by Dmitrij V. Volkov and the present author in 1973-74 under the first invest…
Exterior Differentials in Superspace and Poisson Brackets of Diverse Grassmann Parities
D. V. Soroka, V. A. Soroka
It is shown that two definitions for the exterior differential in superspace, giving the same exterior calculus, when applied to the Poisson bracket lead to the different results.…
Supersymmetric Model with Grassmann-odd Lagrangian
D. V. Soroka, V. A. Soroka, J. Wess
A supersymmetric model with a Grassmann-odd Lagrangian is proposed which, in contrast to the model with an even Lagrangian, contains not only a kinetic term but also…
Linear Odd Poisson Bracket on Grassmann Variables
V. A. Soroka
A linear odd Poisson bracket (antibracket) realized solely in terms of Grassmann variables is suggested. It is revealed that the bracket, which corresponds to a semi-simple Lie gro…
Degenerate Odd Poisson Bracket on Grassmann Variables
V. A. Soroka
A linear degenerate odd Poisson bracket (antibracket) realized solely on Grassmann variables is presented. It is revealed that this bracket has at once three nilpotent -like dif…
On Action with Grassmann-Odd Lagrangian
V. A. Soroka
The action with the Grassmann-odd Lagrangian for the supersymmetric classical Witten mechanics is constructed. It is shown that the exterior differential can be used for the connec…