An off-shell formulation for internally gauged D=5, N=2 supergravity from superconformal methods

Abstract

We use the superconformal method to construct a new formulation for pure off-shell D=5, N=2 Poincaré supergravity and present its internal gauging. The main difference between the traditional formulation and our new formulation is the choice of the Dilaton Weyl Multiplet as the background Weyl Multiplet and the choice of a Linear compensating Multiplet. We do not introduce an external vector multiplet to gauge the theory, but instead use the internal vector of the Dilaton Weyl Multiplet. We show that the corresponding on-shell theory is Einstein-Maxwell supergravity. We believe that this gauging method can be applied in more complicated scenarios such as the inclusion of off-shell higher derivative invariants.

25 pages, 1 figure, v3: Version appeared in JHEP

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• Higher Derivative Supergravities in Diverse Dimensions
• Supersymmetric backgrounds from 5d N=1 supergravity
• On curvature-squared invariants of minimal five-dimensional supergravity from superspace
• Off-Shell N=2 Linear Multiplets in Five Dimensions
• Spinorial geometry, off-shell Killing spinor identities and higher derivative 5D supergravities
• $\mathcal{N}=2$ dilaton-Weyl multiplets in 5D and Nishino-Rajpoot supergravity off-shell
• Off-Shell $\mathcal{N}=(1,0)$ Linear Multiplets in Six Dimensions
• On five-dimensional curvature squared supergravity and holography