Gauge Theory of Gravity and Supergravity

dc.creatorKaul, Romesh K.
dc.date2006-01-02
dc.date.accessioned2026-07-07T10:44:04Z
dc.date.available2026-07-07T10:44:04Z
dc.descriptionWe 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, besides other equations of motion, to 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.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0601004
dc.identifierhttp://arxiv.org/abs/gr-qc/0601004
dc.identifierPhys.Rev.D73:065027,2006
dc.identifierdoi:10.1103/PhysRevD.73.065027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182468
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleGauge Theory of Gravity and Supergravity
dc.typetext

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