三维重力场中的DC电导和记忆
DC conductance and memory in 3D gravity
摘要：
研究了AdS $_{3}$引力的二维对偶动力学中的输运性质。通过提供边界条件，变形的ADM的流逝和移位功能，我们构建了一个低维模型，包括两个副本的手征玻色子激发各向异性标度对称。使用玻色化，识别电流。通过久保公式，我们发现直流电导依赖于理论水平和动力学指数。线性响应的批量实现与在近地平线边界条件的背景下出现的一种类型的引力记忆有关。这个过程是绝热的，代表了一个永久的时空变形参数化的各向异性手征玻色子通过大规范变换。
英文摘要：
Transport properties are investigated in the two-dimensional dual dynamics of AdS$_{3}$ gravity. By providing boundary conditions that deform the ADM lapse and shift functions, we construct a lower dimensional model comprising two copies of chiral boson excitations with anisotropic scaling symmetry. Using bosonization, an electric current is identified. By means of the Kubo formula, we find a DC conductance depending on the level of the theory and the dynamical exponents. The bulk realization of the linear response is related to a type of gravitational memory emerging in the context of near-horizon boundary conditions. The process is adiabatic and represents a permanent spacetime deformation parametrized by anisotropic chiral bosons through a large gauge transformation.
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