$$D=4$$ 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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2019-11-01
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Series: | European Physical Journal C: Particles and Fields |
Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-7421-0 |
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. |
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ISSN: | 1434-6044 1434-6052 |