BTZ black hole and quantum Hall effect in the bulk/boundary dynamics
High Energy Physics - Theory
2016-08-25 v3
Abstract
We point out an interesting analogy between the BTZ black hole and QHE (Quantum Hall effect) in the (2+1)-dimensional bulk/boundary theories. It is shown that the Chern-Simons/Liouville(Chern-Simons/chiral boson) is an effective description for the BTZ black hole (QHE). Also the IR(bulk)-UV(boundary) connection for a black hole information bound is realized as the UV(low-lying excitations on bulk)-IR(long-range excitations on boundary) connection in the QHE. An inflow of conformal anomaly( central charge) onto the timelike boundary of AdS by the Noether current corresponds to an inflow of chiral anomaly onto the edge of disk by the Hall current.
Keywords
Cite
@article{arxiv.hep-th/9809059,
title = {BTZ black hole and quantum Hall effect in the bulk/boundary dynamics},
author = {Y. S. Myung},
journal= {arXiv preprint arXiv:hep-th/9809059},
year = {2016}
}
Comments
8 pages, this version to appear in Phys. Rev. D