标题： 准正则模态的伪谱与全息投影 显示英文标题

标题： Pseudospectra of Quasinormal Modes and Holography

摘要： 全息对偶性（也称为AdS/CFT对应关系或规范/引力对偶性）假设强耦合量子场论可以在渐近反德西特空间中以对偶的方式进行描述。 这一对偶性的基石之一是将热态描述为具有渐近反德西特边界条件的黑洞。 这一想法已经为输运理论和相对论流体力学等领域提供了有价值的见解。 在此背景下，此类黑洞的准正则模在决定性作用中发挥关键作用，因此它们的稳定性特性对于全息对偶性具有最高兴趣。 我们综述了使用伪谱方法的最新结果。 显示英文摘要

摘要： The holographic duality (also known as AdS/CFT correspondence or gauge/gravity duality) postulates that strongly coupled quantum field theories can be described in a dual way in asymptotically Anti-de Sitter space. One of the cornerstones of this duality is the description of thermal states as black holes with asymptotically Anti-de Sitter boundary conditions. This idea has led to valuable insights into such fields as transport theory and relativistic hydrodynamics. In this context, the quasinormal modes of such black holes play a decisive role and therefore their stability properties are of upmost interest for the holographic duality. We review recent results using the method of pseudospectra.