$$D=4$$ D=4 supergravity from the Maxwell-Weyl superalgebra

Abstract We present the construction of the first-order $$D=4$$ D=4 , $${\mathcal {N}}=1$$ 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...

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Bibliographic Details
Main Authors: Salih Kibaroğlu, Oktay Cebecioğlu
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-7421-0
Description
Summary:Abstract We present the construction of the first-order $$D=4$$ D=4 , $${\mathcal {N}}=1$$ 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.
ISSN:1434-6044
1434-6052