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arXiv · hep-th/0611329

Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity

Kentaro Hanaki·Keisuke Ohashi·Yuji Tachikawa
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Abstract

We analyze the structure of a particular higher derivative correction of five-dimensional ungauged and gauged supergravity with eight supercharges. Specifically, we determine all the purely bosonic terms which are connected by the supersymmetry transformation to the mixed gauge-gravitational Chern-Simons term, W wedge tr R wedge R. Our construction utilizes the superconformal formulation of supergravity. As an application, we determine the condition for the supersymmetric anti-de Sitter vacuum with this term. We check that it gives precisely the same condition as the a-maximization in four-dimensional superconformal field theory on the boundary, as predicted by the AdS/CFT correspondence.

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Kentaro Hanaki, Keisuke Ohashi, Yuji Tachikawa. 2007-04-16. Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity. https://doi.org/10.1143/ptp.117.533

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