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Author Grishchuk, L. P.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ♦ PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ♦ SUPERGRAVITY ♦ CONFORMAL INVARIANCE ♦ GRAVITONS ♦ DISTURBANCES ♦ GRAVITATIONAL FIELDS ♦ SPACE-TIME ♦ SPIN ♦ SUPERMULTIPLETS ♦ ANGULAR MOMENTUM ♦ ELEMENTARY PARTICLES ♦ GRAVITATIONAL RADIATION ♦ INVARIANCE PRINCIPLES ♦ MASSLESS PARTICLES ♦ MULTIPLETS ♦ PARTICLE PROPERTIES ♦ POSTULATED PARTICLES ♦ RADIATIONS 657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation ♦ High Energy PhysicsField Theory
Abstract A weak-field approximation is constructed in the theory of pure supergravity. The gravitational supermultiplet combines small perturbations of an arbitrary background gravitational field (spin s=2) and a weak fermion field psi/sub ..mu../ (spin s=3/2). In the lowest approximation, the gravitational perturbations and the psi/sub ..mu../ field do not have a dynamical influence on the background space-time. It is shown that the approximate theory is locally or globally supersymmetric depending on the assumptions made concerning the magnitude of the psi/sub ..mu../ field compared with the gravitational perturbations. The properties of the linear and nonlinear (supergravitational) equations for the particles of spin s=3/2 under conformal scale transformations are investigated. It is shown that by using the freedom in the definition of the spinorial connection these equations can be made conformally invariant. The theory of weak supergravity is considered on a Friedmannian (conformally flat) background. Because of the conformal invariance of the equations, spin 3/2 particles are not produced, and the conformal noninvariance of the equations for the gravitons leads to the possibility of amplification of classical gravitational waves and the production of gravitons, as also occurs in Einstein's theory of gravitation.
Educational Use Research
Learning Resource Type Article
Publisher Date 1979-11-01
Publisher Place United States
Journal Sov. Phys. - JETP
Volume Number 50
Issue Number 5
Organization P. K. Shternberg State Astronomical Institute


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