D=4 supergravity from the Maxwell-Weyl superalgebra

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Kibaroglu S., CEBECİOĞLU O.

EUROPEAN PHYSICAL JOURNAL C, vol.79, no.11, 2019 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 79 Issue: 11
  • Publication Date: 2019
  • Doi Number: 10.1140/epjc/s10052-019-7421-0
  • Title of Journal : EUROPEAN PHYSICAL JOURNAL C

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.