Higher derivative effects on eta/s at finite chemical potential

We examine the effects of higher derivative corrections on eta/s, the ratio of shear viscosity to entropy density, in the case of a finite R-charge chemical potential. In particular, we work in the framework of five-dimensional N =2 gauged supergravity, and include terms up to four derivatives, repr...

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Bibliographic Details
Published inarXiv.org
Main Authors Cremonini, Sera, Hanaki, Kentaro, Liu, James T, Szepietowski, Phillip
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 05.05.2009
Subjects
Chemical potential
Organic chemistry
Physics - High Energy Physics - Theory
Shear viscosity
Supergravity
Supersymmetry
Wedges
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Summary:We examine the effects of higher derivative corrections on eta/s, the ratio of shear viscosity to entropy density, in the case of a finite R-charge chemical potential. In particular, we work in the framework of five-dimensional N =2 gauged supergravity, and include terms up to four derivatives, representing the supersymmetric completion of the Chern-Simons term A \wedge Tr (R \wedge R). The addition of the four-derivative terms yields a correction which is a 1/N effect, and in general gives rise to a violation of the eta/s bound. Furthermore, we find that, once the bound is violated, turning on the chemical potential only leads to an even larger violation of the bound.
ISSN:2331-8422
DOI:10.48550/arxiv.0903.3244