Economic Theory, Economic Reality and Economic Policy

This paper analyzes the opposition between the «liberals» and «statists» in the Russian political and economic thought. It demonstrates that the economic liberalization is an absolute prerequisite for the transition to sustainable socio-economic development. Such development must rely on investment activities of the state, which in the current circumstances is a necessary but not sufficient measure for reversing the negative trends. The negative developments can be prevented only through implementation, along with the institutional changes in the economic area that form a strata of economically independent entrepreneurs-innovators, of no less profound transformation in political institutions aimed at democratization of public life

Superfield theories on S3S^3 and their localization

We consider the superfield formulation of supersymmetric gauge and matter field theories on a three-dimensional sphere with rigid ${\cal N}=2$ supersymmetry, as well as with ${\cal N}> 2$. The construction is based on a supercoset $SU(2|1)/U(1)$ containing $S^3$ as the bosonic subspace. We derive an explicit form of $SU(2|1)/U(1)$ supervielbein and covariant derivatives, and use them to construct classical superfield actions for gauge and matter supermultiplets in this superbackground. We then apply superfield methods for computing one-loop partition functions of these theories and demonstrate how the localization technique works directly in the superspace.Comment: 1+64 pages; v2: Section 4.2 and a reference are adde

Superconformal structures on the three-sphere

With the motivation to develop superconformal field theory on S^3, we introduce a 2n-extended supersphere S^{3|4n}, with n=1,2,..., as a homogeneous space of the three-dimensional Euclidean superconformal group OSp(2n|2,2) such that its bosonic body is S^3. Supertwistor and bi-supertwistor realizations of S^{3|4n} are derived. We study in detail the n=1 case, which is unique in the sense that the R-symmetry subgroup SO^*(2n) of the superconformal group is compact only for n=1. In particular, we show that the OSp(2|2,2) transformations preserve the chiral subspace of S^{3|4}. Several supercoset realizations of S^{3|4n} are presented. Harmonic/projective extensions of the supersphere by auxiliary bosonic fibre directions are sketched.Comment: 44 pages; V2: references added, typos corrected; V3: comments in Appendix B correcte

Higher Spins and Open Strings: Quartic Interactions

We analyze quartic gauge-invariant interactions of massless higher spin fields by using vertex operators constructed in our previous works and computing their four-point amplitudes in superstring theory. The kinematic part of the quartic interactions of the higher spins is determined by the matter structure of their vertex operators;the non-locality of the interactions is the consequence of specific ghost structure of these operators. We compute explicitly the four-point amplitude describing the complete gauge-invariant $1-1-3-3$ quartic interaction (two massless spin 3 particles interacting with two photons) and comment on more general $1-1-s-s$ cases, particularly pointing out the structure of $1-1-5-5$ coupling.Comment: 26 pages, misprints corrected, discussion added in the concluding sectio

Supersymmetric and Kappa-invariant Coincident D0-Branes

We propose a generic supersymmetric and kappa-invariant action for describing coincident D0-branes with non-abelian matter fields on their worldline. The action is shown to be in agreement with the Matrix Theory limit of the ND0-brane effective action.Comment: JHEP style, 1+8 page

Correlation Functions of Sp(2n) Invariant Higher-Spin Systems

We study the general structure of correlation functions in an Sp(2n)-invariant formulation of systems of an infinite number of higher-spin fields. For n=4,8 and 16 these systems comprise the conformal higher-spin fields in space-time dimensions D=4,6 and 10, respectively, while when n=2, one deals with conventional D=3 conformal field theories of scalars and spinors. We show that for n>2 the Sp(2n) symmetry and current conservation makes the 3-point correlators of two (rank-one or rank-two) conserved currents with a scalar operator be that of free theory.This situation is analogous to the one in conventional conformal field theories, where conservation of higher-spin currents implies that the theories are free.Comment: 26 pages, some clarifications added, published versio

Innovations

Under the word “innovation” people usually imply nanotech, robots, space technology, etc. Mostly they tend to think about good side of each thing. But as a rule a range of innovations comprise some disadvantages. As Isaac Newton said, for every action there is an opposite action. Most of us don’t take into account both sides of any new device positive and negative. One of the most common problems concerned with innovations is environmental pollution. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3383

Innovations

Under the word “innovation” people usually imply nanotech, robots, space technology, etc. Mostly they tend to think about good side of each thing. But as a rule a range of innovations comprise some disadvantages. As Isaac Newton said, for every action there is an opposite action. Most of us don’t take into account both sides of any new device positive and negative. One of the most common problems concerned with innovations is environmental pollution. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3383