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Prog. Theor. Phys. Vol. 117 No. 3 (2007) pp. 533-556

[ Full Text PDF : FREE ACCESS (263K) ]

Supersymmetric Completion of an R2 Term in Five-Dimensional Supergravity

Kentaro Hanaki,1 Keisuke Ohashi1 and Yuji Tachikawa2

1Department of Physics, Tokyo Institute of Technology,
Tokyo 152-8551, Japan
2School of Natural Sciences, Institute for Advanced Study,
Princeton, New Jersey 08540, USA

(Received December 22, 2006)

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 ∧ 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.


URL : http://ptp.ipap.jp/link?PTP/117/533/
DOI : 10.1143/PTP.117.533

[ Full Text PDF : FREE ACCESS (263K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 122 No. 3 (2009) pp. 631-657 :
    Supersymmetric AdS3 Solutions in Heterotic Supergravity
    Hiroshi Kunitomo and Mitsuhisa Ohta

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