发表机构
School of Mathematics, University of Bristol; School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh; Higgs Centre for Theoretical Physics, University of Edinburgh; Department of Astrophysics and High Energy Physics, S.N. Bose National Centre for Basic Sciences; Department of Mathematics and Maxwell Institute for Mathematical Sciences, Heriot-Watt University(布里斯托大学数学学院; 爱丁堡大学数学学院与麦克斯韦数学科学研究所; 爱丁堡大学希格斯理论物理中心; S.N. 玻色基础科学国家中心天体物理学与高能物理系; 赫瑞-瓦特大学数学学院与麦克斯韦数学科学研究所)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
该研究探究AdS黑洞视界对称性在对偶应力张量流体动力学作用量中的实现,通过特定边界条件的微分同胚构造出JT和AdS₃引力中黑洞小扰动的流体动力学作用量,验证其具有最大混沌有效理论的规范对称性。
AI 中文摘要
我们展示了AdS黑洞的视界对称性如何在对偶应力张量动力学的流体动力学作用量中实现。近期获取此类作用量的一种方法涉及视界边界条件的选择,我们证明保持这些条件的微分同胚会产生对应流体动力学作用量的对称性。我们采用该方法得到了JT引力和AdS₃引力中黑洞小振幅扰动的显式流体动力学作用量,并明确证明了这些对称性的存在。对于边界条件的自然选择,所得作用量明显实现了先前为最大混沌有效理论提出的规范对称性。
英文摘要
We demonstrate how horizon symmetries of AdS black holes are realised in the hydrodynamic actions for the dynamics of the dual stress tensor. A recent approach for obtaining such actions involves a choice of horizon boundary conditions, and we show that diffeomorphisms that preserve these give rise to symmetries of the corresponding hydrodynamic action. We obtain explicit hydrodynamic actions for small amplitude perturbations of black holes in JT and AdS$_3$ gravity using this approach and demonstrate explicitly the existence of these symmetries. For a natural choice of boundary conditions, the resulting actions manifestly realise gauge symmetries previously proposed for effective theories of maximal chaos.
Comments55 pages (including refs)