Superalgebra and Conservative Quantities in N=1 Self-dual Supergravity

The N=1 self-dual supergravity has SL(2,C) and the left-handed and right -handed local supersymmetries. These symmetries result in SU(2) charges as the angular-momentum and the supercharges. The model possesses also the invariance under the general translation transforms and this invariance leads to the energy-momentum. All the definitions are generally covariant . As the SU(2) charges and the energy-momentum we obtained previously constituting the 3-Poincare algebra in the Ashtekar's complex gravity, the SU(2) charges, the supercharges and the energy-momentum here also restore the super-Poincare algebra, and this serves to support the reasonableness of their interpretations.Comment: 18 pages, Latex, no figure

Резонансный вакуумметр

This article is devoted to development and research of sensitive elements, transducers and vacuum gauges created by resonant method and intended for measuring absolute pressure in a wide range from 10 to 104 Pa.Данная статья посвящена разработке и исследованию метрологических характеристик преобразователя, реализующего резонансный метод и предназначенного для измерения абсолютного давления в широком диапазоне 10 до 10000 Па

Towards Loop Quantum Supergravity (LQSG) I. Rarita-Schwinger Sector

In our companion papers, we managed to derive a connection formulation of Lorentzian General Relativity in D+1 dimensions with compact gauge group SO(D+1) such that the connection is Poisson commuting, which implies that Loop Quantum Gravity quantisation methods apply. We also provided the coupling to standard matter. In this paper, we extend our methods to derive a connection formulation of a large class of Lorentzian signature Supergravity theories, in particular 11d SUGRA and 4d, N = 8 SUGRA, which was in fact the motivation to consider higher dimensions. Starting from a Hamiltonian formulation in the time gauge which yields a Spin(D) theory, a major challenge is to extend the internal gauge group to Spin(D+1) in presence of the Rarita-Schwinger field. This is non trivial because SUSY typically requires the Rarita-Schwinger field to be a Majorana fermion for the Lorentzian Clifford algebra and Majorana representations of the Clifford algebra are not available in the same spacetime dimension for both Lorentzian and Euclidean signature. We resolve the arising tension and provide a background independent representation of the non trivial Dirac antibracket *-algebra for the Majorana field which significantly differs from the analogous construction for Dirac fields already available in the literature.Comment: 43 pages. v2: Journal version. Some nonessential sign errors in sections 2 and 3 corrected. Minor clarifications and correction

Совершенствование государственного первичного специального эталона единицы давления для разности давлений ГЭТ 95–75

This article is devoted to improving the state primary special standard of the pressure unit for the pressure difference of the GET 95-75. The article describes the stages and results of work to improve the standard.Данная статья посвящена совершенствованию государственного первичного специального эталона единицы давления для разности давлений ГЭТ 95-75. В статье изложены этапы и результаты работ по совершенствованию эталона