BTZ black hole and quantum Hall effect in the bulk/boundary dynamics

Details BTZ black hole and quantum Hall effect in the bulk/boundary dynamics BTZ black hole and quantum Hall effect in the bulk/boundary dynamics

1998-09-09

arxiv.org/abs/hep-th/9809059v3

Phys.Rev. D59 (1999) 044028

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, this version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.59.044028

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($c=1$ central charge) onto the timelike boundary of AdS$_3$ by the Noether current corresponds to an inflow of chiral anomaly onto the edge of disk by the Hall current.

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