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Non-analyticity of holographic Rényi entropy in Lovelock gravity

Non-analyticity of holographic Rényi entropy in Lovelock gravity

Title: Non-analyticity of holographic Rényi entropy in Lovelock gravity
Author: Giangreco Puletti, Valentina   orcid.org/0000-0003-1147-8643
Pourhasan, Razieh   orcid.org/0000-0003-1051-8383
Date: 2017-08
Language: English
University/Institute: Háskóli Íslands
University of Iceland
School: Verkfræði- og náttúruvísindasvið (HÍ)
School of Engineering and Natural Sciences (UI)
Department: Raunvísindastofnun (HÍ)
Science Institute (UI)
Series: Journal of High Energy Physics;2017(8)
ISSN: 1126-6708
1029-8479 (eISSN)
DOI: 10.1007/JHEP08(2017)002
Subject: Black holes; AdS-CFT correspondence; Svarthol (stjörnufræði); Stjörnufræði
URI: https://hdl.handle.net/20.500.11815/430

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Puletti, V. G. M., & Pourhasan, R. (2017). Non-analyticity of holographic Rényi entropy in Lovelock gravity. Journal of High Energy Physics, 2017(8), 2. doi: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.


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