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

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($c=1$ 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.

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

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• Gauge Theory Correlators from Non-Critical String Theory
• Black Hole Entropy from Near-Horizon Microstates
• What We Don't Know about BTZ Black Hole Entropy
• Three-Dimensional Black Holes and String Theory
• Black hole absorption cross-sections and the anti-de Sitter -- conformal field theory correspondence
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