Classical double copy and higher-spin fields

Kerr-Schild double copy is shown to extend naturally to all free symmetric gauge fields propagating on $(A)dS$ in any dimensions. Similarly to the standard lower-spin case, the higher-spin multicopy comes along with the zeroth, single and double copies. The mass-like term of the Fronsdal spin $s$ field equations fixed by gauge symmetry and the mass of the zeroth copy both appear to be remarkably fine tuned to fit the multicopy pattern forming a spectrum organized by higher-spin symmetry. On the black hole side this curious observation fills up the list of miraculous properties of the Kerr solution.Comment: 14 page

METHODICAL APPROACHES TO FORMING INNOVATIVE PROJECT AND ENTERPRISE MANAGEMENT ORGANIZATIONAL STRUCTURES

The following principles are discussed as methodical bases of the choice of innovative project and enterprise management organizational structures: hierarchism, bureaucratization, adhocratie, tent organization, lean business engineering, rational organization, amorphous organization, teaching organization. Conditions that complicate industrial and technological processes influence enterprise management process dynamics. The variety of existing types of organizational structures is determined by industrial, economic, psychological and social conditions

BTZ Black Hole as Solution of 3d Higher Spin Gauge Theory

BTZ black hole is interpreted as exact solution of 3d higher spin gauge theory. Solutions for free massless fields in BTZ black hole background are constructed with the help of the star-product algebra formalism underlying the formulation of 3d higher spin theory. It is shown that a part of higher spin symmetries remains unbroken for special values of the BTZ parameters.Comment: 31 pages, LaTeX; references correcte

Investigation of the Chaotic Dynamics of an Electron Beam with a Virtual Cathode in an External Magnetic Field

The effect of the strength of the focusing magnetic field on chaotic dynamic processes occurring inan electron beam with a virtual cathode, as well as on the processes whereby the structures form in the beamand interact with each other, is studied by means of two-dimensional numerical simulations based on solving a self-consistent set of Vlasov-Maxwell equations. It is shown that, as the focusing magnetic field is decreased,the dynamics of an electron beam with a virtual cathode becomes more complicated due to the formation andinteraction of spatio-temporal longitudinal and transverse structures in the interaction region of a vircator. The optimum efficiency of the interaction of an electron beam with the electromagnetic field of the vircator isachieved at a comparatively weak external magnetic field and is determined by the fundamentally two-dimensional nature of the motion of the beam electrons near the virtual cathode.Comment: 12 pages, 8 figure

Experimental and Theoretical Investigation into the Effect of the Electron Velocity Distribution on Chaotic Oscillations in an Electron Beam under Virtual Cathode Formation Conditions

The effect of the electron transverse and longitudinal velocity spread at the entrance to the interaction space on wide-band chaotic oscillations in intense multiple-velocity beams is studied theoretically and numerically under the conditions of formation of a virtual cathode. It is found that an increase in the electron velocity spread causes chaotization of virtual cathode oscillations. An insight into physical processes taking place in a virtual cathode multiple velocity beam is gained by numerical simulation. The chaotization of the oscillations is shown to be associated with additional electron structures, which were separated out by constructing charged particle distribution functions.Comment: 9 pages, 8 figure

An action principle for Vasiliev's four-dimensional higher-spin gravity

We provide Vasiliev's fully nonlinear equations of motion for bosonic gauge fields in four spacetime dimensions with an action principle. We first extend Vasiliev's original system with differential forms in degrees higher than one. We then derive the resulting duality-extended equations of motion from a variational principle based on a generalized Hamiltonian sigma-model action. The generalized Hamiltonian contains two types of interaction freedoms: One set of functions that appears in the Q-structure of the generalized curvatures of the odd forms in the duality-extended system; and another set depending on the Lagrange multipliers, encoding a generalized Poisson structure, i.e. a set of polyvector fields of ranks two or higher in target space. We find that at least one of the two sets of interaction-freedom functions must be linear in order to ensure gauge invariance. We discuss consistent truncations to the minimal Type A and B models (with only even spins), spectral flows on-shell and provide boundary conditions on fields and gauge parameters that are compatible with the variational principle and that make the duality-extended system equivalent, on shell, to Vasiliev's original system.Comment: 37 pages. References added, corrected typo

АНАЛИЗ СТРАТЕГИИ ЭКСПОРТНО-СЫРЬЕВОЙ ОРИЕНТАЦИИ РАЗВИТИЯ РОССИЙСКОЙ ЭКОНОМИКИ

The article gives a methodology for assessing the strategy of export-raw material orientation of the Russian economy, from the point of impact on the social sphere, directly to the person. The dynamics of oil production in Russia, dynamics of export of Russian oil, the price of oil on the world market and the dynamics of the social sphere in Russia were analyzed using data for 1990–2012.The purpose of this article is to study the possibilities of raw material export-oriented strategy of Russia. Possibility raw export-oriented strategy was evaluated dependence of the social sphere - the index GINI, the average wage of household savings from the development of fuel – energy complex. Finding the functional dependence of each of these indicators of social sphere both of oil production and oil exports from Russia plus the price of oil on the world market were tasks.Empirical estimates show the ability of the raw material export-oriented strategy of the Russian economy to ensure the development of the social sphere of the country under condition increasing in the growth rate of energy consumption. Resource-rich countries should pursue a policy of reducing their exports and thus increase their domestic consumption.В статье изложена методология оценки стратегии экспортно-сырьевой ориентации развития российской экономики, с позиции влияния на социальную сферу, непосредственно на человека. На основе данных за 1990-2012гг. анализировалась динамика добычи нефти в России, динамика экспорта нефти из России, цена нефти на мировом рынке и динамика показателей социальной сферы России.Целью настоящей статьи является исследование возможностей сырьевой экспортно-ориентированной стратегии России. Возможность сырьевой экспортно-ориентированной стратегии оценивалась зависимостью показателей социальной сферы - индекса GINI, средней заработной платы, сбережений населения от уровня развития топливо-энергетического комплекса. В соответствии с этой целью решались следующие задачи: нахождение функциональной зависимости каждого из названных показателей социальной сферы от добычи нефти, экспорта нефти из России и цены нефти на мировом рынке.Результаты эмпирических оценок показывают способность сырьевой экспортно-ориентированной стратегии российской экономики обеспечить развитие социальной сферы страны при условии увеличения темпов роста потребления энергетических ресурсов. Богатая природными ресурсами страна должна проводить политику сокращения их экспорта и, соответственно, роста их внутреннего потребления

Families of exact solutions to Vasiliev's 4D equations with spherical, cylindrical and biaxial symmetry

We provide Vasiliev's four-dimensional bosonic higher-spin gravities with six families of exact solutions admitting two commuting Killing vectors. Each family contains a subset of generalized Petrov Type-D solutions in which one of the two so(2) symmetries enhances to either so(3) or so(2,1). In particular, the spherically symmetric solutions are static and we expect one of them to be gauge-equivalent to the extremal Didenko-Vasiliev solution given in arXiv:0906.3898. The solutions activate all spins and can be characterized either via generalized electric and magnetic charges defined asymptotically in weak-field regions or via the values of fully higher-spin gauge-invariant observables given by on-shell closed zero-forms. The solutions are obtained by combining the gauge-function method with separation of variables in twistor space via expansion of the Weyl zero-form in Di-Rac supersingleton projectors times deformation parameters in a fashion that is suggestive of a generalized electromagnetic duality.Comment: v1: 77 pages; 3 tables; 23 pages of appendices. v2: 5 additional pages of clarifications, typos correcte

The Higher Spin/Vector Model Duality

This paper is mainly a review of the dualities between Vasiliev's higher spin gauge theories in AdS4 and three dimensional large N vector models, with focus on the holographic calculation of correlation functions of higher spin currents. We also present some new results in the computation of parity odd structures in the three point functions in parity violating Vasiliev theories.Comment: 55 pages, 1 figure. Contribution to J. Phys. A special volume on "Higher Spin Theories and AdS/CFT" edited by M. R. Gaberdiel and M. Vasiliev. v2: references adde