51 citations · 277 across the 34 of their papers we have counts for
30 papers · 1 filter
Tensionless spinning string: emergence of world-sheet torsion and covariant density of energy-momentum tensor
A. A/ Zheltukhin
The action of tensionless spinning string invariant under reparametrizions, both local supersymmetry and dilatations, is considered. The density of energy-momentum tensor is constr…
On possible composite structure of scalar fields in expanding universe
A. A. Zheltukhin
Scalar fields in curved backgrounds are assumed to be composite objects. As an example realizing such a possibility we consider a model of the massless tensor field in…
Brane mechanism of spontaneously generated gravity
A. A. Zheltukhin
The braneworld scenario is studied and the effective action of 3-brane living in 5-dim. Minkowski space is constructed. This action is proved to be invariant under spontaneously br…
-Branes with vacuum as models of gravity
A. A. Zheltukhin
Branes with constant mean curvature of their hyper-worldsheets of codim 1 are treated as the Nambu-Goldstone fields of the broken Poincare symmetry. Mapping of their action into qu…
Phenomenological Lagrangians, gauge models and branes
A. A. Zheltukhin
Phenomenological Lagrangians for physical systems with spontaneously broken symmetries are reformulated in terms of gauge field theory. Description of the Dirac -branes in terms…
Gauge theory approach to branes and spontaneous symmetry breaking
A. A. Zheltukhin
Gauge theory approach to consideration of the Nambu-Goldstone bosons as gauge and vector fields represented by the Cartan forms of spontaneously broken symmetries, is discussed. Th…
Branes as solutions of gauge theories in gravitational field
A. A. Zheltukhin
The idea of the Gauss map is unified with the concept of branes as hypersurfaces embedded into -dimensional Minkowski space. The map introduces new generalized coordinates of br…
Laplace-Beltrami operator and exact solutions for branes
A. A. Zheltukhin
Proposed is a new approach to finding exact solutions of nonlinear -brane equations in -dimensional Minkowski space based on the use of various initial value constraints. It…
On nonlinearity of p-brane dynamics
A. A. Zheltukhin
Nonlinear equations of -branes in -dimensional Minkowski space are discussed. Presented are new exact solutions for a set of spinning -branes with $p=2,3,...,(D-1)/…
Generalized Hooke Law for Relativistic Membranes and p-branes
A. A. Zheltukhin
The character of elastic forces of relativistic membranes and -branes encoded in their nonlinear equations is studied. The toroidal brane equations are reduced to the classical…
Toroidal p-branes, anharmonic oscillators and (hyper)elliptic solutions
Aleksandr Zheltukhin
Exact solvability of brane equations is studied, and a new invariant anzats for the solution of -brane equations in -dimensional…
Linear space of spinor monomials and realization of the Nambu-Goldstone fermion in the Volkov-Akulov and Komargodski-Seiberg Lagrangians
A. A. Zheltukhin
The analytical algorithm previously proposed by the author for matching the Volkov-Akulov (VA) and Komargodski-Seiberg (KS) actions describing the Nambu-Goldstone (NG) fermion, is…
On equivalence of the Komargodski-Seiberg action to the Volkov-Akulov action
A. A. Zheltukhin
Equivalence between the Komargodski-Seiberg and the Volkov-Akulov supersymmetric nonlinear Lagrangians of the Nambu-Goldstone fermions is proved in all orders in their interaction…
Massless Chiral Supermultiplets of Higher Spins and the -Twistor
M. Chaichian, A. Tureanu, A. A. Zheltukhin
Recently N. Berkovits, motivated by the supertwistor description of super Yang-Mills, considered the generalization of the -twistor constructio…
On the cancellation of 4-derivative terms in the Volkov-Akulov action
A. A. Zheltukhin
Recently Kuzenko and McCarty observed the cancellation of 4-derivative terms in the Volkov-Akulov supersymmetric action for the fermionic Nambu-Goldstone field. He…
Dmitrij Volkov, super-Poincare group and Grassmann variables
A. A. Zheltukhin
A fundamental role of the Hermann Grassmann anticommuting variables both in physics and mathematics is discussed on the example of supersymmetry. The talk describes how the D. Volk…
U(1)-invariant membranes: the geometric formulation, Abel and pendulum differential equations
A. A. Zheltukhin, M. Trzetrzelewski
The geometric approach to study the dynamics of U(1)-invariant membranes is developed. The approach reveals an important role of the Abel nonlinear differential equation of the fir…
Exact solutions for U(1) globally invariant membranes
M. Trzetrzelewski, A. A. Zheltukhin
The exact solvability problem of the nonlinear equations describing the U(1) invariant membranes is studied and the general solution for the static membrane in D=2N+1-dimensional M…
Unification of twistors and Ramond vectors
A. A. Zheltukhin
We generalize the idea of supertwistors and introduce a new supersymmetric object - the -twistor which includes the composite Ramond vector [11] well known from the spinning str…
A new type of supersymmetric twistors and higher spin chiral multiplets
A. A. Zheltukhin
A new type of supersymmetric twistors is proposed and they are called -twistors versus the supertwistors. The -twistor is a triple of spinors including the spinor superspace…
Hamiltonian structure and noncommutativity in -brane models with exotic supersymmetry
D. V. Uvarov, A. A. Zheltukhin
The Hamiltonian of the simplest super -brane model preserving 3/4 of the D=4 N=1 supersymmetry in the centrally extended symplectic superspace is derived and its symmetries are…
Wess-Zumino actions and Dirichlet Boundary Conditions for Super p-branes with Exotic Fractions of Supersymmetry
I. Bengtsson, A. A. Zheltukhin
The general solutions in the models of closed and open superstring and super p-branes with exotic fractions of the N=1 supersymmetry are considered and the spontaneously broken cha…
Extra Gauge Symmetry for Extra Supersymmetry
A. A. Zheltukhin, D. V. Uvarov
It is shown that the extra supersymmetry of tensionless superstring and super -brane is accompanied by the presence of new bosonic gauge symmetries. It permits to use composed c…
An Inverse Penrose Limit and Supersymmetry Enhancement in the Presence of Tensor Central Charges
A. A. Zheltukhin, D. V. Uvarov
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 superbran…