Fractional charge of quasi-particles on the horizon of black holes

2019/07/02 by Jingbo Wang, Wang, Jingbo
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.1907.01209

6 pages, comments are welcome; There are some mistakes in section 2 and is replaced by arXiv:2011.05498

arxiv created 2020/11/12 · arxiv updated 2020/11/13

Abstract

In the previous works, it was claimed that black holes can be considered as topological insulators. In this paper, we will show that they are actually fractional topological insulators. That is, the quasi-particles and quasi-holes can have fractional charges and statistics (spins). For BTZ black hole, the filling fraction is v=(1)/(2k). For Kerr black hole, the filling fraction is v=\fracπS, where S is the entropy of black hole.

Citations

• Topological entanglement entropy of the BTZ black hole

Related

• Black hole as topological insulator (I): the BTZ black hole case
• Black hole as topological insulator (II): the boundary modes
• On the relation between fractional charge and statistics
• Fractional topological insulators
• Microscopic entropy of the charged BTZ black hole