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arXiv · 1107.2825

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

Eric A. Bergshoeff·Jan Rosseel·Ergin Sezgin
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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.

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Eric A. Bergshoeff, Jan Rosseel, Ergin Sezgin. 2011-08-10. Off-shell D=5, N=2 Riemann Squared Supergravity. https://doi.org/10.1088/0264-9381%2F28%2F22%2F225016

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