Spin-connection generalized Yang--Mills fields on double-dual generalized Einstein--Cartan backgrounds

Journal Article · Sun May 01 00:00:00 EDT 1988 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.528191· OSTI ID:5300201

O'Brien, G M; Tchrakian, D H

In every even dimension, a modification of the generalized Yang--Mills systems (modGYM) is introduced. It is shown that spin-connection modGYM fields, which are self-dual on a double-self-dual background of generalized Einstein--Cartan (GEC) gravity, can be constructed: this generalizes the constructions of Charap and Duff (Phys. Lett. B 69, 445 (1977)) in four dimensions, to all even dimensions. Additional duality constraints are also given that must be satisfied by the gravitational fields, if these constructions are to apply also to the full GYM systems. Applications to compactification, as well as relevant physical criteria, are briefly discussed.

• Research Organization: School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland
• OSTI ID: 5300201
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 29:5
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GRAVITATION
CONFORMAL INVARIANCE
YANG-MILLS THEORY
UNIFIED-FIELD THEORIES
COMPACTIFICATION
DUALITY
EINSTEIN FIELD EQUATIONS
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
INSTANTONS
SPIN
ANGULAR MOMENTUM
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
PARTICLE PROPERTIES
QUASI PARTICLES
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation