We study holographic entanglement entropy and revisit thermodynamics and confinement in the dilaton-gravity system. Our analysis focuses on a solvable class of backgrounds that includes AdS and linear dilaton spacetimes as particular cases, with some results extended to general warped metrics. A general lesson is that the behavior of the holographic theory is tied to the bulk curvature singularities. We find that a singular background is confining if and only if i) the singularity coincides with a boundary or ii) it is the linear dilaton. In the former case, for which the singularity cuts off spacetime, we demonstrate that both entanglement entropy and thermodynamics exhibit a first order phase transition. In the linear dilaton case we find instead that both entanglement entropy and thermal phase transitions are of second order. Additionally, along the process we thoroughly derive the radion effective action at quadratic order.
Probing the bubble interior with entanglement entropy and bulk-cone singularities
Università Cattolica del Sacro Cuore（天主教撒克雷圣心大学）；INFN Sezione di Perugia（意大利国家核物理研究所佩鲁加分部）；Institute for Theoretical Physics, KU Leuven（荷语鲁汶大学理论物理研究所）；TIFPA - INFN, c/o Dipartimento di Fisica, Università di Trento（特伦托大学物理系意大利国家核物理研究所理论与应用物理中心）；Yukawa Institute for Theoretical Physics, Kyoto University（京都大学汤川理论物理研究所）
Complete classification of Friedmann-Lemaître-Robertson-Walker solutions with linear equation of state: parallelly propagated curvature singularities for general geodesics
Timelike Entanglement Entropy in Higher Curvature Gravity
Jilin University（吉林大学）；Ningbo University（宁波大学）；Max Planck Institute for Gravitational Physics (Albert Einstein Institute)（马克斯·普朗克引力物理研究所（阿尔伯特·爱因斯坦研究所））；Inner Mongolia University（内蒙古大学）
Electromagnetic Asymmetry, Relegation of Curvature Singularities of Charged Black Holes, and Cosmological Equations of State in View of the Born--Infeld Theory
