It is well known that the particles with the value of spin more than two arise naturally when quantizing such classical objects as the relativistic oscillator [1], string [2] or discrete string [3,4]. The challenging problem for these kinds of theories is to construct the lagrangian description both for free and for interacting particles with the higher spins. In order to kill ghosts and all ot...

We study the interplay between the properties of the germ of a singular variety N ⊂ Rn given in the title and the algebra of vector fields tangent to N . The Poincare lemma property means that any closed differential (p+1)-form vanishing at any point ofN is a differential of a p-form which also vanishes at any point of N . In particular, we show that the classical quasi-homogeneity is not a nec...

In previous papers we extended the Lorentz and Poincare groups to include a set of Dirac boosts that give a direct correspondence with a set of generators which for spin 1/2 systems are proportional to the Dirac matrices. The groups are particularly useful for developing general linear wave equations beyond spin 1/2 systems. In this paper we develop explicit group properties of the extended Poi...

We review results on several interesting phenomena in warped compactifications of M theory, as presented at Strings 2000. The behavior of gauge fields in dimensional reduction from d+1 to d dimensions in various backgrounds is explained from the point of view of the holographic duals (and a point raised in the question session at the conference is addressed). We summarize the role of additional...

A mass-deformation of three euclidean dimensional N = 1 SYM theory is carried out. The gluons of the theory are made massive using a nonlocal gauge and Poincare invariant mass term due to Nair, while fermion masses are introduced using standard gaussian terms. The underlying supersymmetry algebra is shown to be a non-central extension of the Poincare algebra by the spacetime rotation group so(3...

We study the generalized Forchheimer flows of slightly compressible fluids in rotating porous media. In problem's model, varying density Coriolis force is fully accounted for without any simplifications. It results a doubly nonlinear parabolic equation density. derive priori estimates solutions terms initial, boundary data and physical parameters, emphasizing on case unbounded data. Weighted Po...

In this paper, the nonlinear oscillations induced by friction in a ball-on-socket system are investigated. The time response was obtained solving differential equations of friction-noise model finite element ball with multiple modes. different patterns motion were analyzed via bifurcation diagram, Poincare map, and recurrence plot. Lyapunov exponents discontinuous distributed contact calculated...

Let W be a finite Coxeter group, realized as a group generated by reflections in the /-dimensional Euclidean space V. Let s/ be the hyperplane arrangement in C* = F(g)RC consisting of the complexifications of the reflecting hyperplanes of W in V. The hyperplane complement M = Mw = C l — {JHejl/H has been studied by Arnold [1] in the case when W = Sh Brieskorn [3], Deligne [7] and Orlik and Solo...

The paper deals with evaluation of reliability of a human operator in the MMS (Man-MachineSystem). In terms of controls the driver is a very universal and effective controller. In contrast to an unnatural controller the driver fatigue (both mental and physical) is reflected and it is reduces driver control abilities. The paper describes analyzing of driver trajectory and driver ́s state monitori...

Let M be a close complex manifold and T M its holomorphic tangent bundle. We prove that if the global holomorphic sections of tangent bundle generate each fibre, then M is a complex homogeneous manifold. It implies that every irreducible close Kähler manifold with ample tangent bundle is isomorphic to the projective space. This provides an alternative proof of Hartshore's conjecture in algebrai...