具有偶然SO(3)对称性的磁流体动力学的全息模型
A holographic model of magnetohydrodynamics with fortuitous SO(3) symmetry
AI总结：
本文利用全息术研究磁流体动力学，提出具有偶然SO(3)对称性的黑膜解，发现矩阵值电阻率依赖于UV截断，并证明体粘度与剪切粘度的比例常数恰好满足共形性要求。
摘要：
我们使用全息术研究磁流体动力学。该引力模型与五维STU超引力密切相关，并允许一个解析的黑膜解，该解携带与磁流体动力学系统的磁1-形式对称性对偶的守恒电荷。黑膜解具有偶然的SO(3)对称性，为描述磁流体动力学提供了新的对称性原理。由于体理论包含多个2-形式规范场，电阻率变为矩阵值。我们发现电阻率矩阵的反对称部分展现出依赖于理论UV截断的新特征。我们还计算了剪切和体粘度，发现体粘度与剪切粘度成正比。值得注意的是，尽管零阶能动张量不是无迹的，该比例常数恰好是共形性所要求的。
英文摘要：
We study magnetohydrodynamics using holography. The gravity model is closely related to the STU supergravity in five dimensions and admits an analytical black brane solution carrying the conserved charge dual to the magnetic 1-form symmetry of the magnetohydrodynamic system. The black brane solution features a fortuitous SO(3) symmetry, providing a new symmetry principle for describing the magnetohydrodynamics. Since the bulk theory contains multiple 2-form gauge fields, the resistivity becomes matrix-valued. We find that the antisymmetric part of the resistivity matrix exhibits novel features depending on the UV cut-off of the theory. We also compute the shear and bulk viscosities and find that the bulk viscosity is proportional to the shear viscosity. Remarkably, the proportionality constant is exactly what is required for conformality, despite the zeroth-order energy-momentum tensor not being trace-free.
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