Renormalization of the Minimal Supersymmetric Standard Model

The renormalization of the Minimal Supersymmetric Standard Model (MSSM) is presented. We describe symmetry identities that constitute a framework in which the MSSM is completely characterized and renormalizability can be proven. Furthermore, we discuss applications of this framework for the determination of symmetry-restoring counterterms, the gauge dependence of tan(beta) and the derivation of non-renormalization theorems.Comment: Talk given by D.S. at the RADCOR/Loops and Legs in Quantum Field Theory 2002, September 8--13, Kloster Banz, Germany. 5 pages. Layout improve

University innovative hubs as points of growth of industrial parks of Ukraine

The purpose of the article is generalization of features of expediency of the creation of innovative parks in Ukraine. Practical output of the results consists in the discovered success factors of the activity of innovative parks in Ukraine in order to create new opportunities of innovation development of the country. Current organizational and functional system of innovative entrepreneurship of Ukraine is an imperfect, complex and by all indications, is in the process of formation. It is assumed that infrastructure of international educational innovative hub can structurally corrected according to the area which operates a hub that is: stimulate the dialogue between academics, businessmen and government officials; provide an interactive exchange of explicit and implicit knowledge; generate shared vision on adaptation measures of dynamic environment. Evaluation of the results of scientific and pedagogical activities of working group of innovative hub should be made for following indicators: development of skills of teaching and research work; introducing of innovative approaches for practical individual activity; formation of innovative approaches for collective practical activity; working on the chosen scientific and methodological theme. Main advantage of proposed university innovative hubs is that laid all necessary foundations in order to high school could be as soon as effectively integrate the results of university, academic and sectoral sciences of Ukraine, well as advanced research results of scientific world community in the development and implementation of innovative projects and development innovation

Effect of Self-Interaction on Charged Black Hole Radiance

We extend our previous analysis of the modification of the spectrum of black hole radiance due to the simplest and probably most quantitatively important back-reaction effect, that is self-gravitational interaction, to the case of charged holes. As anticipated, the corrections are small for low-energy radiation when the hole is well away from extremality, butbecome qualitatively important near extremality. A notable result is that radiation which could leave the hole with mass and charge characteristic of a naked singularity, predicted in the usual approximation of fixed space-time geometry, is here suppressed. We discuss the nature of our approximations, and show how they work in a simpler electromagnetic analogue problem.Comment: 13 pages in Latex, no figure

New quality of financial institutions and business management

Economic processes in the world are characterized by a high level of dynamism, change and innovative approaches to addressing key issues in nowadays. In a context of globalization and European integration of Ukraine into a high-tech competitive environment in order to financing innovative projects, it is necessary to use Blockchain technology as an effective tool for digital economy. Purpose of scientific research is to find out key priorities and functionalities of Blockchain’s application for solving business and government tasks. The object of scientific research is the latest financial technology Blockchain and a system of cult-technologies: crowdsourcing, crowdfunding, crowdinvesting. Methodology. In the process of re-search, the following methods are used: generalization – in studying the nature, pre-conditions and principles of Blockchain technologies; formalization – when compar-ing characteristics of the latest forms of financing, such as crowdsourcing, crowd-funding, crowdinvesting. In the course of scientific research, key qualitative charac-teristics of digital economy are described and the dominant components of its devel-opment are investigated. The result of the article. The priorities, new principles of business management and possibilities of Blockchain technology as an effective digi-tal economy tool for solving business and government tasks are revealed. Future pro-spects from the implementation of crowd-technologies as an effective management tool in progress for solving the problems of innovative business are substantiated. Interconnection in the latest financial institution of creative initiatives realization is presented. The comparative analysis of management of new institutes of innovative development for Ukrainian economy in the course of doing business is carried out. The result of the research is presentation of the relationship in the latest financial in-stitution implementing creative initiatives and a comparative analysis of new insti-tutes of innovative development in the sphere of finance for the Ukrainian economy. Practical implications. The components of digital economy identified by the authors in the article are accelerators of the socio-economic life of Ukrainian society in the modern world and are capable of rapidly increasing Ukraine’s GDP. The described new forms of financing of Ukrainian start-ups (crowdsourcing, crowdfunding, crowdsourcing) are today quite interesting and effective tool for solving business problems in the financial, economic, innovative, marketing and marketing spheres. Value/originality. Blockchain technology, as an effective tool for Ukraine’s digital economy, is able to address the challenges of business and government, uncover the relationship between crowdsourcing, crowdfunding, crowdsourcing, and explain the content of innovative financial institutions for Ukraine’s economy

University innovative hubs as points of growth of industrial parks of Ukraine

The purpose of the article is generalization of features of expediency of the creation of innovative parks in Ukraine. Practical output of the results consists in the discovered success factors of the activity of innovative parks in Ukraine in order to create new opportunities of innovation development of the country. Current organizational and functional system of innovative entrepreneurship of Ukraine is an imperfect, complex and by all indications, is in the process of formation. It is assumed that infrastructure of international educational innovative hub can structurally corrected according to the area which operates a hub that is: stimulate the dialogue between academics, businessmen and government officials; provide an interactive exchange of explicit and implicit knowledge; generate shared vision on adaptation measures of dynamic environment. Evaluation of the results of scientific and pedagogical activities of working group of innovative hub should be made for following indicators: development of skills of teaching and research work; introducing of innovative approaches for practical individual activity; formation of innovative approaches for collective practical activity; working on the chosen scientific and methodological theme. Main advantage of proposed university innovative hubs is that laid all necessary foundations in order to high school could be as soon as effectively integrate the results of university, academic and sectoral sciences of Ukraine, well as advanced research results of scientific world community in the development and implementation of innovative projects and development innovation

Gauge parameter dependence in gauge theories (revised: subsection 2.3)

Dependence on the gauge parameters is an important issue in gauge theories: physical quantities have to be independent. Extending BRS transformations by variation of the gauge parameter into a Grassmann variable one can control gauge parameter dependence algebraically. As application we discuss the anomaly coefficient in the Slavnov-Taylor identity, $S$-matrix elements, the vector two-point-function and the coefficients of renormalization group and Callan-Symanzik equation.Comment: 6, MPI-PhT/94-34, BUTP-94/1

Supersymmetric Yang-Mills theories with local coupling: The supersymmetric gauge

Supersymmetric pure Yang-Mills theory is formulated with a local, i.e. space-time dependent, complex coupling in superspace. Super-Yang-Mills theories with local coupling have an anomaly, which has been first investigated in the Wess-Zumino gauge and there identified as an anomaly of supersymmetry. In a manifest supersymmetric formulation the anomaly appears in two other identities: The first one describes the non-renormalization of the topological term, the second relates the renormalization of the gauge coupling to the renormalization of the complex supercoupling. Only one of the two identities can be maintained in perturbation theory. We discuss the two versions and derive the respective beta function of the local supercoupling, which is non-holomorphic in the first version, but directly related to the coupling renormalization, and holomorphic in the second version, but has a non-trivial, i.e.anomalous, relation to the beta function of the gauge coupling.Comment: References correcte

Spin-Orbit Interaction from Matrix Theory

We study the leading order spin dependence of graviton scattering in eleven dimensions, and show that the results obtained from supergravity and from Matrix Theory precisely agree.Comment: 9 pages, LaTex. Some typos and a few formulas on p. 7 correcte

Quartic points on the Fermat quintic

In this paper, we study the algebraic points of degree $4$ over $\mathbb{Q}$ on the Fermat curve $F_5/\mathbb{Q}$ of equation $x^5+y^5+z^5=0$. A geometrical description of these points has been given in 1997 by Klassen and Tzermias. Using their result, as well as Bruin's work about diophantine equations of signature $(5,5,2)$, we give here an algebraic description of these points. In particular, we prove there is only one Galois extension of $\mathbb{Q}$ of degree $4$ that arises as the field of definition of a non-trivial point of $F_5$