Nonlinear gauge fields and the structure of gravity and supergravity theories

Journal Article · Thu Jun 15 04:00:00 EDT 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.17.3168· OSTI ID:6777608

Chang, L N; Mansouri, F

By regarding the gauge fields which arise in theories based on nonlinear realizations of gauge symmetries as dynamical variables, we show that gravity, with or without matter, supergravity, and extended supergravity theories possess such symmetries. The model-independent transformation laws for such fields remain unaltered when extended supergravity theories are considered. For groups such as OSp(N;4), the supersymmetry part of the group must be realized nonlinearly. It is pointed out that in this scheme to realize supersymmetry transformations linearly, one possibility is to consider the inhomogeneous extensions of the supergroups OSp(N;2C), i.e., IOSp(N;2C). We also consider the consequences of this point of view in regard to flat-space-time gauge theories and show that instead of the usual set of Yang-Mills equations supplemented with gauge conditions which break the gauge covariance completely, it is possible to formulate a system of equations which are equal in number to the above set but which maintain gauge covariance with respect to the unbroken part of the gauge symmetry.

• Research Organization: Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19174
• OSTI ID: 6777608
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 17:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRODYNAMICS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
PERTURBATION THEORY
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SPACE-TIME
SUPERGRAVITY
SYMMETRY BREAKING
YANG-MILLS THEORY