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arXiv 1107.2780hep-th
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超对称流体动力学

Supersymmetric Fluid Dynamics

P. A. Grassi, A. Mezzalira, L. Sommovigo

摘要:

最近,人们从AdS_5边界上的黑膜和共形流体之间的对偶性出发,导出了NS方程。然而,在AdS_5中的超引力解和边界上的超对称场论之间必须建立完全的对应。这促使了超对称流体NS方程的构建。在刚性susy的框架下,有几种可能性,我们提出了一个候选。我们推导的运动方程在两种方式:既从发散条件的能量动量张量和适当的参数化的辅助领域。我们给出了完整的分量展开和一个非常初步的分析,这种超对称流体的物理。

英文摘要:

Recently Navier-Stokes (NS) equations have been derived from the duality between the black branes and a conformal fluid on the boundary of AdS_5. Nevertheless, the full correspondence has to be established between solutions of supergravity in AdS_5 and supersymmetric field theories on the boundary. That prompts the construction of NS equations for a supersymmetric fluid. In the framework of rigid susy, there are several possibilities and we propose one candidate. We deduce the equations of motion in two ways: both from the divergenless condition on the energy-momentum tensor and by a suitable parametrization of the auxiliary fields. We give the complete component expansion and a very preliminary analysis of the physics of this supersymmetric fluid.

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