Svesko, Andrew;
(2021)
Extending charged holographic Rényi entropy.
Classical and Quantum Gravity
, 38
(13)
, Article 135024. 10.1088/1361-6382/abfed4.
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Abstract
Motivated by extended black hole thermodynamics, we generalize the Rényi entropy of charged holographic conformal field theories (CFTs) in d-dimensions. Specifically, following [1], we extend the quench description of the Rényi entropy of globally charged holographic CFTs by including pressure variations of charged hyperbolically sliced anti de Sitter black holes. We provide an exhaustive analysis of the new type of charged Rényi entropy, where we find an interesting interplay between a parameter controlling the pressure of the black hole and its charge. A field theoretic interpretation of this extended charged Rényi entropy is given. In particular, in d = 2, where the bulk geometry becomes the charged Bañados, Teitelboim, Zanelli black hole, we write down the extended charged Rényi entropy in terms of the twist operators of the charged field theory. An area law prescription for the extended Rényi entropy is formulated. We comment on several avenues for future work, including how global charge conservation relates to black hole super-entropicity.
| Type: | Article |
|---|---|
| Title: | Extending charged holographic Rényi entropy |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1088/1361-6382/abfed4 |
| Publisher version: | https://doi.org/10.1088/1361-6382/abfed4 |
| Language: | English |
| Additional information: | Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. |
| Keywords: | Science & Technology, Physical Sciences, Astronomy & Astrophysics, Quantum Science & Technology, Physics, Multidisciplinary, Physics, Particles & Fields, Physics, extended black hole thermodynamics, holography, entanglement entropy, GRAVITY |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10143117 |
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| 2. |  Germany | 2 |
| 3. |  Russian Federation | 1 |
| 4. |  Romania | 1 |
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