发表机构
Leinweber Institute for Theoretical Physics and Department of Physics, University of California, Berkeley, USA; Mathematical Institute, University of Oxford, Oxford, United Kingdom（加州大学伯克利分校利恩韦伯理论物理研究所与物理系; 牛津大学数学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究AdS₃引力中薄壳黑洞和虫洞弹性变形，通过计算配分函数二次响应定义刚度核，在半经典极限下计算算符谱，还给出刚度核洛伦兹解释及对黑洞微观态统计和熵的影响。
AI 中文摘要
我们研究了AdS₃引力中薄壳黑洞和虫洞的弹性变形。这些几何结构由对偶共形场论中的线缺陷产生，其形状和质量分布定义了引力鞍点的弹性模量。我们计算了配分函数对这些变形的二次响应，为横向形状涨落和非均匀质量密度涨落定义了刚度核。刚度核的计算可实现为对共形焊接问题的双曲响应，在重壳极限下简化为通用的施瓦兹响应。刚度核是共形场论中缺陷局部算符的两点函数：位移算符测量对形状变形的响应，质量密度算符测量对壳密度局部变化的响应。我们在各种黑洞和虫洞背景下的半经典极限中计算了这些算符的谱。根据几何结构中垂直于壳的非紧致方向的存在与否，谱可以是离散的或连续的。我们还使用线性响应理论为刚度核提供了洛伦兹解释，并计算了对偶全息共形场论中相应瞬态变形的弛豫时间尺度。最后，我们计算了这些弹性变形对黑洞微观态统计和黑洞熵的影响。
英文摘要
We study elastic deformations of thin-shell black holes and wormholes in AdS$_3$ gravity. These geometries are sourced by line defects in the dual conformal field theory, and their shape and mass distribution define elastic moduli of the gravitational saddle. We compute the quadratic response of the partition function to these deformations, defining stiffness kernels for both transverse shape fluctuations and inhomogeneous mass-density fluctuations. The computation of the stiffness kernels can be realized as a hyperbolic response to a conformal welding problem which reduces to the universal Schwarzian response in the heavy-shell limit. The stiffness kernels are two-point functions of defect-local operators in CFT: the displacement operator, which measures the response to shape deformations, and a mass-density operator, which measures the response to local changes in the shell density. We compute the spectrum of these operators in the semiclassical limit, in various black hole and wormhole backgrounds. The spectrum can be discrete or continuous depending on the existence of a non-compact direction transverse to the shell in the geometry. We also provide a Lorentzian interpretation for the stiffness kernels using linear response theory and compute the relaxation time scales towards the corresponding transient deformations in the dual holographic CFT. Lastly, we compute the effect of these elastic deformations on black hole microstate statistics and black hole entropy.
Comments76 pages + 2 Appendices
