Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy

Arenas-Henriquez, Gabriel; Diaz, Felipe; Novoa, Yerko

Abstract

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.

Citation

Arenas-Henriquez, G., Diaz, F., & Novoa, Y. (2023). Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy. Journal of High Energy Physics, 2023(5), Article 72. https://doi.org/10.1007/jhep05%282023%29072

• Journal Article Type: Article
• Acceptance Date: Apr 22, 2023
• Online Publication Date: May 9, 2023
• Publication Date: 2023
• Deposit Date: Oct 2, 2023
• Publicly Available Date: Oct 2, 2023
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 5
• Article Number: 72
• DOI: https://doi.org/10.1007/jhep05%282023%29072
• Keywords: Nuclear and High Energy Physics
• Public URL: https://durham-repository.worktribe.com/output/1755471