论文标题
全息旋转液体和Lovelock Chern-Simons重力
Holographic spin liquids and Lovelock Chern-Simons gravity
论文作者
论文摘要
我们使用全息图探索扭转作为自旋电流的来源。我们基于基于不可约洛伦兹表示的自旋源的分类，建立了基本流体动力变量，能量量张量和自旋电流的组成关系。我们认为的流体被认为是由具有独立Vielbein和自旋连接的五个维度Lovelock-Chern-Simons重力描述的。我们构建一个涉及应力张量和自旋电流的流体动力扩展，并按照相应的单点全息计算。作为一种副产品，我们通过将运动方程映射到源的非线性代数约束中，找到了洛夫洛克 - 切尔尼 - 塞蒙斯重力（包括黑洞）的一类有趣的分析解决方案。我们还为Chern-Simons理论中的这些黑洞提供了Lee-Wald熵公式。黑洞溶液决定了边界上相应流体中的热力学潜力和流体动力学关系。我们在这些全息模型中观察到了新型自旋诱导的传输：Barnett效应的动力版本，其中涡度产生了自旋电流和异常的涡流传输横向到类似矢量的自旋源。
We explore the role of torsion as source of spin current in strongly interacting conformal fluids using holography. We establish the constitutive relations of the basic hydrodynamic variables, the energy-momentum tensor and the spin current based on the classification of the spin sources in irreducible Lorentz representations. The fluids we consider are assumed to be described by the five dimensional Lovelock-Chern-Simons gravity with independent vielbein and spin connection. We construct a hydrodynamic expansion that involves the stress tensor and the spin current and compute the corresponding one-point functions holographically. As a byproduct we find a class of interesting analytic solutions to the Lovelock-Chern-Simons gravity, including blackholes, by mapping the equations of motion into non-linear algebraic constraints for the sources. We also derive a Lee-Wald entropy formula for these blackholes in Chern-Simons theories with torsion. The blackhole solutions determine the thermodynamic potentials and the hydrodynamic constitutive relations in the corresponding fluid on the boundary. We observe novel spin induced transport in these holographic models: a dynamical version of the Barnett effect where vorticity generates a spin current and anomalous vortical transport transverse to a vector-like spin source.
