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

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

2011-07-14

arxiv.org/abs/1107.2825v2

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, v2 : references added

Scientific paper

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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