Two- and three-charge BPS black holes of the torus-reduced heterotic action are rewritten in five-dimensional STU supergravity fields, and the resulting action is shown to differ from known N=2 R^2 invariants.
Off-shell D=5, N=2 Riemann Squared Supergravity
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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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Multicenter higher-derivative BPS black holes
Two- and three-charge BPS black holes of the torus-reduced heterotic action are rewritten in five-dimensional STU supergravity fields, and the resulting action is shown to differ from known N=2 R^2 invariants.