Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy
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Fecha
2023-05-09
Profesor/a Guía
Facultad/escuela
Idioma
en
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Editor
Springer
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Licencia CC
Atribución 4.0 Internacional (CC BY 4.0)
Licencia CC
https://creativecommons.org/licenses/by/4.0/deed.es
Resumen
We extend the charged Renyi entropy to a more general holographic scenario. Coupling an arbitrary non-linear electrodynamics Lagrangian density to AdS gravity, we analyse the thermodynamic features of non-linearly charged hyperbolic black holes and the thermal fluctuations in the grand canonical ensemble. We provide a general form for the relevant holographic quantities that describes a CFT with a global U(1) symmetry in terms of horizon data and we compute the first thermal fluctuation of the charged Renyi entropy. We demonstrate the validity of the formulae through an analytic example; the Coulomb source in 2 + 1 dimensions. We propose this model to be dual to charged free bosons in 1 + 1 dimensions. The corrections generates a subleading logarithmic divergence in the entanglement entropy which appear in some Condensed Matter systems with spontaneous symmetry breaking due to IR effects in the ground state. We comment on the possibility of interpreting these results in terms of holography beyond the saddle point approximation. © 2023, The Author(s).
Notas
Indexacción: Scopus
Palabras clave
AdS-CFT Correspondence, Black Holes, Gauge-Gravity Correspondence, Holography and Condensed Matter Physics (AdS/CMT)
Citación
Journal of High Energy Physics Volume 2023, Issue 5May 2023 Article number 72
DOI
10.1007/JHEP05(2023)072