arXiv 0907.27392009-07-16hep-th

AdS/CFT磁流体力学中的S对偶性

S-duality in AdS/CFT magnetohydrodynamics

James Hansen, Per Kraus

备注：: 25 pages
DOI：: 10.1088/1126-6708/2009/10/047

摘要：

研究了2+1维带电保形流体在缓变外电场和磁场作用下的非线性流体动力学问题。继最近的工作推导出非线性流体动力学的重力，我们证明了如何长波长扰动的AdS dyonic黑膜解决方案的四维超重力方程相当于流体动力学方程的边界理论。我们调查的影响$S$ -对偶我们的系统，并推导出的S操作下的一般流体不变量的输运系数施加的限制。我们还扩大了我们以前的工作，并确定了一组新的先前未确定的共形流体的输运系数与AdS重力对偶。令人惊讶的是，我们发现，一半的传输系数允许的对称性消失在全息流体中的线性顺序的流体动力学膨胀。

英文摘要：

We study the nonlinear hydrodynamics of a 2+1 dimensional charged conformal fluid subject to slowly varying external electric and magnetic fields. Following recent work on deriving nonlinear hydrodynamics from gravity, we demonstrate how long wavelength perturbations of the AdS dyonic black brane solution of 4D supergravity are governed by equations equivalent to fluid dynamics equations in the boundary theory. We investigate the implications of $S$-duality for our system, and derive restrictions imposed on the transport coefficients of a generic fluid invariant under the S operation. We also expand on our earlier work and determine a new set of previously undetermined transport coefficients for the conformal fluid with an AdS gravity dual. Quite surprisingly, we discover that half of the transport coefficients allowed by symmetry vanish in the holographic fluid at linear order in the hydrodynamic expansion.

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