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Off-shell D=5, N=2 Riemann squared supergravity
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DOI：10.1088/0264-9381/28/22/225016.png)
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Abstract
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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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