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Higher derivative effects onη/sat finite chemical potential

2009/03/31 by Sera Cremonini, Kentaro Hanaki, James T. Liu +1 · 10 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.80.025002

published as Phys.Rev.D80:025002,2009 · Typos fixed, references and comments on conventions added

arxiv created 2009/05/05 · openalex publication_date 2009/07/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We examine the effects of higher derivative corrections on \ensuremathη/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\ensuremath\wedgeTr(R\ensuremath\wedgeR). 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 \ensuremathη/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.

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