Off-shell D=5, N=2 Riemann Squared Supergravity

Abstract

We construct a new off-shell invariant in N=2, D=5 supergravity whose leading term is the square of the Riemann tensor. It contains a gravitational Chern-Simons term involving the vector field that belongs to the supergravity multiplet. The action is obtained by mapping the transformation rules of a spin connection with bosonic torsion and a set of curvatures to the fields of the Yang-Mills multiplet with gauge group SO(4,1). We also employ the circle reduction of an action that describes locally supersymmetric Yang-Mills theory in six dimensions.

17 pages, v2 : references added

References in corpus (3)

• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Conformal Gravity and Extensions of Critical Gravity
• Higher derivative effects on eta/s at finite chemical potential

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