An Action in Superspace for SO(N)-Supergravity
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We review the formulation of supergravity as the geometry of a bundle of frames with structure group SL(2, C)⊗SO(N) and base supermanifold ℳ with 4 even and 4N odd dimensions. The action principle is discussed and a construction is given of a superspace action ℐ that becomes stationary when the constraints and equations of motion of conventional SO(N)-models are imposed. One attractive feature of this action is that it contains Einstein’s action plus other terms which depend on the torsion and the Yang-Mills curvature.
KeywordsInvariant Measure General Coordinate Transformation Bundle Space Superspace Action Solder Form
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