Supersymmetric Model with Grassmann-odd Lagrangian

A supersymmetric $D = 1, N =1$ model with a Grassmann-odd Lagrangian is proposed which, in contrast to the model with an even Lagrangian, contains not only a kinetic term but also an interaction term for the coordinates entering into one real scalar Grassmann-even (bosonic) superfield.Comment: 6 pages, LATEX 2e. The talk given at the International Conference "Supersymmetries and Quantum Field Theory" (SSQFT'2000, NSC KIPT, Kharkov, Ukraine, 25-29 July, 2000). To be published in the Proceedings of this Conference. Corrections of misprint

Supersymmetry and the Odd Poisson Bracket

Some applications of the odd Poisson bracket developed by Kharkov's theorists are represented, including the reformulation of classical Hamiltonian dynamics, the description of hydrodynamics as a Hamilton system by means of the odd bracket and the dynamics formulation with the Grassmann-odd Lagrangian. Quantum representations of the odd bracket are also constructed and applied for the quantization of classical systems based on the odd bracket and for the realization of the idea of a composite spinor structure of space-time. At last, the linear odd bracket, corresponding to a semi-simple Lie group, is introduced on the Grassmann algebra.Comment: 17 pages, LATEX 2e. Invited talk given at the International Symposium "30 Years of Supersymmetry" (Theoretical Physics Institute, University of Minnesota, Minneapolis, MN, USA, 13-27 October, 2000) due to the support kindly offered by the Organizing Committee of this meeting and, especially, by Keith Olive and Mikhail Shifma

The development of interactive algorithms for the Mathematical Environment

AbstractThe Mathematical Environment which is under development at the Glushkov Institute of Cybernetics is a system of tools supporting the interactive manipulation of knowledge represented in the form of (formalized) mathematical texts. The system is implemented using a simulator for the Action Language, which has itself been developed using the algebraic programming system APS. The theoretical background of this project is the theory of interaction of agents and environments, constraint solving and the Evidence Algorithm. The main concepts underlying the project and the methodology of its development are explained in this paper in terms of the theory of interaction. The Evidence Algorithm is considered as an example of an interactive algorithm for the Mathematical Environment

Gravity, p-branes and a spacetime counterpart of the Higgs effect

We point out that the worldvolume coordinate functions $\hat{x}^\mu(\xi)$ of a $p$-brane, treated as an independent object interacting with dynamical gravity, are Goldstone fields for spacetime diffeomorphisms gauge symmetry. The presence of this gauge invariance is exhibited by its associated Noether identity, which expresses that the source equations follow from the gravitational equations. We discuss the spacetime counterpart of the Higgs effect and show that a $p$-brane does not carry any local degrees of freedom, extending early known general relativity features. Our considerations are also relevant for brane world scenarios.Comment: 5 pages, RevTeX. v2 (30-IV-03) with additional text and reference

Electrically switchable, Ka-band slotted waveguide antenna array system

An original electrically switchable, Ka-band slotted waveguide antenna array system has been recently developed, produced, and tested. The system consists of four identical sections, which are connected to a radar transmitter/receiver by means of a high-power, multipole p-i-n switch. The introduced p-i-n switch enables for a fast electrical scanning of the antenna beam what essentially extends possible areas of the antenna system application. The antenna system is used in a helicopter collision avoidance, surveillance, and weather radar. This paper describes design features of the antenna system, its main characteristics, results of its testing, and the antenna integration in the radar.У роботі представлено оригінальну конструкцію хвилевідно-щілинної антенної системи Ka-діапазону з електричним скануванням променя. Система складається з чотирьох однакових секцій, які підключені до приймача-передавача через мультипольний p-i-n перемикач великої потужності. Запропонований p-i-n перемикач дозволяє здійснювати швидке електричне сканування променя антени, що істотно збільшує сферу застосування антенної системи. Розроблену антенну систему було застосовано в радарі, призначеному для забезпечення безпеки польоту гелікоптерів, а також контролю метеоумов. У статті описано властивості антенної системи, наведено її основні характеристики, результати тестувань та інтеграції антени в радар.В работе представлена оригинальная конструкция волноводно-щелевой антенной системы Ka-диапазона с электрическим сканированием луча. Система состоит из четырех одинаковых секций, которые подключены к приемо-передатчику через мультипольный p-i-n переключатель большой мощности. Предложенный p-i-n переключатель позволяет осуществлять быстрое электрическое сканирование луча антенны, что существенно расширяет область применения антенной системы. Разработанная антенная система была применена в радаре, предназначенном для обеспечения безопасности полета вертолетов, а также контроля метеоусловий. В статье описаны свойства антенной системы, приведены ее основные характеристики, результаты тестирования и интеграции антенны в радар

ANALYSIS OF SMALL MOLECULES BINDING WITH DENGUE VIRUS ENVELOPE PROTEIN TRIMER

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Magnetron Transmitters for High-Resolution Radars

95 GHz, 2 kW radar transmitters with the output pulse duration of 10 ns and the pulse repetition frequency of 40 kHz are presented. The transmitters are based on the spatial-harmonic magnetron with cold secondaryemission cathode. Transmitter design solutions and characteristics are described.Представлены радарные передатчики (95 ГГц, 2 кВт) с выходным импульсом длительностью 10 нс и частотой повторения 40 кГц. Передатчики основаны на пространственно-гармоническом магнетроне с холодным вторично-эмиссионным катодом. Описаны конструкторские решения и характеристики передатчика.Наведено радарні передавачі (95 ГГц, 2 кВт) з вихідним імпульсом довжиною 10 нс та частотою повторення 40 кГц. Передавачі засновані на просторовогармонічному магнетроні з холодним вторинно-емісійним катодом. Описано конструкторські вирішення та характеристики передавача

The Effective Action For Brane Localized Gauge Fields

The low energy effective action including gauge field degrees of freedom on a non-BPS p=2 brane embedded in a N=1, D=4 target superspace is obtained through the method of nonlinear realizations of the associated super-Poincare symmetries. The invariant interactions of the gauge fields and the brane excitation modes corresponding to the Nambu-Goldstone degrees of freedom resulting from the broken space translational symmetry and the target space supersymmetries are determined. Brane localized matter field interactions with the gauge fields are obtained through the construction of the combined gauge and super-Poincare covariant derivatives for the matter fields.Comment: 12 pages, no figure

Abnormal number of Nambu-Goldstone bosons in the color-asymmetric 2SC phase of an NJL-type model

We consider an extended Nambu--Jona-Lasinio model including both (q \bar q)- and (qq)-interactions with two light-quark flavors in the presence of a single (quark density) chemical potential. In the color superconducting phase of the quark matter the color SU(3) symmetry is spontaneously broken down to SU(2). If the usual counting of Goldstone bosons would apply, five Nambu-Goldstone (NG) bosons corresponding to the five broken color generators should appear in the mass spectrum. Unlike that expectation, we find only three gapless diquark excitations of quark matter. One of them is an SU(2)-singlet, the remaining two form an SU(2)-(anti)doublet and have a quadratic dispersion law in the small momentum limit. These results are in agreement with the Nielsen-Chadha theorem, according to which NG-bosons in Lorentz-noninvariant systems, having a quadratic dispersion law, must be counted differently. The origin of the abnormal number of NG-bosons is shown to be related to a nonvanishing expectation value of the color charge operator Q_8 reflecting the lack of color neutrality of the ground state. Finally, by requiring color neutrality, two massive diquarks are argued to become massless, resulting in a normal number of five NG-bosons with usual linear dispersion laws.Comment: 13 pages, 4 figures, revtex