%0 Journal Article %1 Hanaki2007Supersymmetric %A Hanaki, Kentaro %A Ohashi, Keisuke %A Tachikawa, Yuji %D 2007 %J Progress of Theoretical Physics %K hd-corrections, sugra %N 3 %P 533--556 %R 10.1143/ptp.117.533 %T Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity %U http://dx.doi.org/10.1143/ptp.117.533 %V 117 %X 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.

@article{Hanaki2007Supersymmetric, 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.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Hanaki, Kentaro and Ohashi, Keisuke and Tachikawa, Yuji}, biburl = {https://www.bibsonomy.org/bibtex/23965b8d6ba521472583e712dedfb9700/acastro}, citeulike-article-id = {12016361}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0611329}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0611329}, citeulike-linkout-2 = {http://dx.doi.org/10.1143/ptp.117.533}, day = 16, doi = {10.1143/ptp.117.533}, eprint = {hep-th/0611329}, interhash = {28350fd38be761872f804781ed844c11}, intrahash = {3965b8d6ba521472583e712dedfb9700}, issn = {0033-068X}, journal = {Progress of Theoretical Physics}, keywords = {hd-corrections, sugra}, month = apr, number = 3, pages = {533--556}, posted-at = {2013-02-12 20:19:59}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity}}, url = {http://dx.doi.org/10.1143/ptp.117.533}, volume = 117, year = 2007 }