Supersymmetric Completion of an R2 Term in Five-Dimensional Supergravity
By Kentaro Hanaki, K. Ohashi, Y. Tachikawa. 2006
181 citations recorded by the source corpus.
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 ∧ tr R ∧ 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.
View Paper: https://www.semanticscholar.org/paper/df47e93b23728b5b08ddf8dac15f232ee17b985c
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Citations in the corpus
- The Shear Viscosity to Entropy Ratio: A Status Report (2011, methodology): “In that theory the four-derivative corrections to the leading order action include a mixed gauge-gravitational Chern-Simons term A∧Tr (R∧R), whose supersymmetric completion10 was obtained in [63].”
- Black hole entropy function, attractors and precision counting of microstates (2007, methodology): “The results for black hole entropy computed using the general arguments outlined above have been verified by explicit computation in heterotic string theory after including all tree level four derivative corrections [133, 44] and also in five dimensional supergravity theories [134, 135,136] with cur”