大$D$膜范式在首次次领头阶的流体对偶
A fluid dual to large $D$ membrane paradigm at first subleading order
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- Indian Institute of Technology (Indian School of Mines)（印度理工学院（印度矿业学院））
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中文总结 AI 辅助
本文在大$D$膜范式首次次领头阶构造了渐近平坦时空中无荷黑洞的流体对偶，发现流体受有效背景力影响，具有负压力和可提取的输运系数。
中文摘要 AI 辅助
大$D$膜范式建立了黑洞动力学与非引力背景中余维一类时膜演化之间的对偶关系。在本工作中，我们在$1/D$展开的首次次领头阶，构造了渐近平坦时空中无荷黑洞所对偶的相对论性流体动力学。由于不存在类时渐近边界，与AdS/CFT流体-引力对偶不同，我们在动力学膜上固有地构造了一个有效流体，其运动方程与次领头阶膜方程精确等价。通过在Landau框架中进行此流体动力学分析，我们表明该系统表现为受有效背景力影响的流体。非平衡粘性效应自然出现，使我们能够直接从体粘性压力和剪切应力张量中提取流体输运系数。此外，该流体表现出负压力，捕捉了$(D-1)$维膜世界体的固有表面张力。
英文摘要
The large $D$ membrane paradigm establishes a duality between the dynamics of black holes and the evolution of a codimension-one timelike membrane in a non-gravitational background. In this work, we formulate the relativistic fluid dynamics dual to an uncharged black hole in asymptotically flat spacetime at the first subleading order in the $1/D$ expansion. Due to the absence of a timelike asymptotic boundary, unlike in AdS/CFT fluid-gravity duality, we construct an effective fluid intrinsically on the dynamical membrane, whose equations of motion are exactly equivalent to the subleading order membrane equations. By performing this fluid-dynamical analysis in the Landau frame, we show that the system behaves as a fluid influenced by an effective background force. Out-of-equilibrium viscous effects emerge naturally, allowing us to extract the fluid transport coefficients directly from the bulk viscous pressure and shear stress tensor. Furthermore, the fluid exhibits a negative pressure, capturing the intrinsic surface tension of the $(D-1)$-dimensional membrane worldvolume.
