Gauge theory of gravity and supergravity

Journal Article · Wed Mar 15 00:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.73.065027· OSTI ID:20782698

Kaul, Romesh K ^[1]

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1. Institute of Mathematical Sciences, Chennai 600 113 (India)

We present a formulation of gravity in terms of a theory based on complex SU(2) gauge fields with a general coordinate invariant action functional quadratic in the field strength. Self-duality or anti-self-duality of the field strength emerges as a constraint from the equations of motion of this theory. This in turn leads to Einstein gravity equations for a dilaton and an axion conformally coupled to gravity for the self-dual constraint. The analysis has also been extended to N=1 and 2 super Yang-Mills theory of complex SU(2) gauge fields. This leads to, besides other equations of motion, self-duality/anti-self-duality of generalized supercovariant field strengths. The self-dual case is then shown to yield as its solutions N=1, 2 supergravity equations, respectively.

• OSTI ID: 20782698
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 6; Other Information: DOI: 10.1103/PhysRevD.73.065027; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CONFORMAL INVARIANCE
DUALITY
EINSTEIN FIELD EQUATIONS
EQUATIONS OF MOTION
GAUGE INVARIANCE
GRAVITATION
MATHEMATICAL SOLUTIONS
QUANTUM FIELD THEORY
SU-2 GROUPS
SUPERGRAVITY
SUPERSYMMETRY
YANG-MILLS THEORY