Non-analyticity of holographic Rényi entropy in Lovelock gravity

• Published in: Journal of High Energy Physics
• Main Authors: Giangreco Puletti, Valentina, Pourhasan, Razieh
• Other Authors: Raunvísindastofnun (HÍ), Science Institute (UI), Verkfræði- og náttúruvísindasvið (HÍ), School of Engineering and Natural Sciences (UI), Háskóli Íslands, University of Iceland
• Format: Article in Journal/Newspaper
• Language: English
• Published: Springer Nature 2017
• Subjects: Black holes; AdS-CFT correspondence; Svarthol (stjörnufræði); Stjörnufræði; Iceland
• Online Access: https://hdl.handle.net/20.500.11815/430; https://doi.org/10.1007/JHEP08(2017)002

We compute holographic Rényi entropies for spherical entangling surfaces on the boundary while considering third order Lovelock gravity with negative cosmological constant in the bulk. Our study shows that third order Lovelock black holes with hyperbolic event horizon are unstable, and at low temperatures those with smaller mass are favoured, giving rise to first order phase transitions in the bulk. We determine regions in the Lovelock parameter space in arbitrary dimensions, where bulk phase transitions happen and where boundary causality constraints are met. We show that each of these points corresponds to a dual boundary conformal field theory whose Rényi entropy exhibits a kink at a certain critical index n. This research was supported in part by the Icelandic Research Fund under contracts 163419-051 and 163422-051, and by grants from the University of Iceland Research Fund. Peer Reviewed