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| Li, DN; He, S; Fang, Z; Fang, Z (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.; He, S (reprint author), Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Golm, Germany.; He, S (reprint author), Kyoto Univ, Yukawa Inst Theoret Phys, Sakyo Ku, Kitashirakawa Oiwakecho, Kyoto 6068502, Japan. | |
| Note on stability of new hyperbolic AdS black holes and phase transitions in Renyi entropies | |
| Source Publication | NUCLEAR PHYSICS B
 |
| Language | 英语 |
| Abstract | We construct a series of new hyperbolic black hole solutions in Einstein-Scalar system and we apply holographic approach to investigate the spherical Renyi entropy in various deformations of dual conformal field theories (CFTs). Especially, we introduce various powers of scalars in the scalar potentials for massive and massless scalar. These scalar potentials correspond to deformation of dual CFTs. Then we solve asymptotically hyperbolic AdS black hole solutions numerically. We map the instabilities of these black hole solutions to phase transitions of field theory in terms of CHM mapping between hyperbolic hairy AdS black hole and spherical Renyi entropy in dual field theories. Based on these solutions, we study the temperature dependent condensation of dual operator of massive and massless scalar respectively. These condensations show that there might exist phase transitions in dual deformed CFTs. We also compare free energy between asymptotically hyperbolic AdS black hole solutions and hyperbolic AdS Schwarz (AdS-SW) black hole to test phase transitions. In order to confirm the existence of phase transitions, we turn on linear in-homogeneousperturbation to test stability of these hyperbolic hairy AdS black holes. In this paper, we show how potential parameters affect the stability of hyperbolic black holes in several specific examples. For general values of potential parameters, it needs further study to see how the transition happens. Finally, we comment on these instabilities associated with spherical Renyi entropy in dual deformed CFTs. (C) 2017 The Author(s). Published by Elsevier B.V. |
| 2017 | |
| Volume | 923Pages:1-31 |
| Subject Area | Physics |
| DOI | http://dx.doi.org/10.1016/j.nuclphysb.2017.07.010 |
| Funding Organization | Max-Planck fellowship ; Max-Planck fellowship ; Max-Planck fellowship ; Max-Planck fellowship ; National Natural Science Foundation of China [11305235] ; National Natural Science Foundation of China [11305235] ; National Natural Science Foundation of China [11305235] ; National Natural Science Foundation of China [11305235] ; China Post-doctoral Science Foundation [2015M580136] ; China Post-doctoral Science Foundation [2015M580136] ; China Post-doctoral Science Foundation [2015M580136] ; China Post-doctoral Science Foundation [2015M580136] |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/21960 |
| Collection | SCI期刊论文 |
| Corresponding Author | He, S; Fang, Z (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China.; He, S (reprint author), Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Golm, Germany.; He, S (reprint author), Kyoto Univ, Yukawa Inst Theoret Phys, Sakyo Ku, Kitashirakawa Oiwakecho, Kyoto 6068502, Japan. |
| Recommended Citation GB/T 7714 | Li, DN,He, S,Fang, Z,et al. Note on stability of new hyperbolic AdS black holes and phase transitions in Renyi entropies[J]. NUCLEAR PHYSICS B,2017,923:1-31. |
| APA | Li, DN,He, S,Fang, Z,Fang, Z ,He, S ,&He, S .(2017).Note on stability of new hyperbolic AdS black holes and phase transitions in Renyi entropies.NUCLEAR PHYSICS B,923,1-31. |
| MLA | Li, DN,et al."Note on stability of new hyperbolic AdS black holes and phase transitions in Renyi entropies".NUCLEAR PHYSICS B 923(2017):1-31. |
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