Off-shell D=5, N=2 Riemann squared supergravity

Bergshoeff, Eric A.

doi:10.1088/0264-9381/28/22/225016

Off-shell D=5, N=2 Riemann squared supergravity

2011-10-20

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Bergshoeff, Eric A. *

DOI：10.1088/0264-9381/28/22/225016

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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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Off-shell D=5, N=2 Riemann squared supergravity

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