Cardy entropy of charged and rotating asymptotically AdS and Lifshitz solutions with a generalized Chern–Simons term

Article

Cardy entropy of charged and rotating asymptotically AdS and Lifshitz solutions with a generalized Chern–Simons term

Bravo-Gaete, M.; Cisterna, A.; Hassaine, M.; Kubizňák, D.

Phys. Lett. B 868, 139721 (2025)

Abstract

We consider a three-dimensional gravity model that includes (non-linear) Maxwell and Chern-Simons-like terms, allowing for the existence of electrically charged rotating black hole solutions with a static electromagnetic potential. We verify that a Cardy-like formula, based not on central charges but on the mass of the uncharged and non-spinning soliton, obtained via a double Wick rotation of the neutral static black hole solution, accurately reproduces the Bekenstein-Hawking entropy. Furthermore, we show that a slight generalization of this model, incorporating a dilatonic field and extra gauge fields, admits charged and rotating black hole solutions with asymptotic Lifshitz behavior. The entropy of these solutions can likewise be derived using the Cardy-like formula, with the Lifshitz-type soliton serving as the ground state. Based on these results, we propose a generalized Cardylike formula that successfully reproduces the semiclassical entropy in all the studied cases.

Institute authors

Supported by

GACR 22-14791S — Černoděrové prostoročasy v obecné dimenzi, jejich vlastnosti a interpretace
GACR 23-07457S — Skryté symetrie a chemie černých děr
UNCE24/SCI/016 — Centrum částicové fyziky a kosmologie

BibTeX

@article{UTF1039,
  author        = {Bravo-Gaete, M. and Cisterna, A. and Hassaine, M. and Kubizňák, D.},
  title         = {{Cardy entropy of charged and rotating asymptotically AdS and Lifshitz solutions with a generalized Chern–Simons term}},
  journal       = {Phys. Lett. B},
  volume        = {868},
  pages         = {139721},
  year          = {2025},
  month         = {9},
  doi           = {10.1016/j.physletb.2025.139721},
  eprint        = {2506.04854},
  archivePrefix = {arXiv},
}