有限化学势下对eta/s的高次导数影响
Higher derivative effects on eta/s at finite chemical potential
摘要:
我们研究了在有限R-电荷化学势的情况下,高阶导数修正对η/s(剪切粘度与熵密度之比)的影响。特别是,我们的工作在五维N =2规范超引力的框架下,并包括四个衍生物的条款,表示陈-西蒙斯项A \wedge Tr(R \wedge R)的超对称完成。四阶导数项的增加产生了1/N效应的修正,并且通常会导致违反eta/s界限。此外,我们发现,一旦边界被破坏,打开化学势只会导致更大的边界破坏。
英文摘要:
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.
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