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Anyonic spin-Hall effect on the black hole horizon

L. Marsot1,2,3,*, P.-M. Zhang4,†, and P. A. Horvathy5,‡

  • 1School of Science, Sun Yat-sen University, Shenzhen 518107, China
  • 2Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France
  • 3Department of Physics, Babes-Bolyai University, Kogalniceanu Street, 400084 Cluj-Napoca, Romania
  • 4School of Physics and Astronomy, Sun Yat-sen University, Zhuhai 519082, China
  • 5Institut Denis Poisson, Tours University—Orléans University, UMR 7013, 37200 Tours, France

  • *marsot@cpt.univ-mrs.fr
  • †Corresponding author. zhangpm5@mail.sysu.edu.cn
  • ‡horvathy@lmpt.univ-tours.fr

Phys. Rev. D 106, L121503 – Published 23 December, 2022

DOI: https://doi.org/10.1103/PhysRevD.106.L121503

Abstract

Using the fact that the horizon of black holes is a Carroll manifold, we show that an “exotic photon,” i.e., a particle without mass and charge but with anyonic spin, magnetic moment, and exotic charges associated with the two-parameter central extension of the two-dimensional Carroll group moves on the horizon of a Kerr-Newman black hole consistently with the Hall law.

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