D=4 supergravity from the Maxwell-Weyl superalgebra

Abstract

Abstract We present the construction of the first-order D=4, N=1 supergravity action by gauging the Maxwell-Weyl superalgebra. The four-form lagrangian is constructed by using the curvatures of the algebra and the local scale invariance of the action is achieved through the introduction of a compensating scalar field. Finally, we find the generalized Einstein equation with a coordinate dependent cosmological term.

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