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

Y. S. Myung
Phys. Rev. D 59, 044028 – Published 27 January 1999
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Abstract

We point out an interesting analogy between the BTZ black hole and QHE (quantum Hall effect) in (2+1)-dimensional bulk-boundary theories. It is shown that the Chern-Simons–Liouville (Chern-Simons–chiral-boson) theory 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 a conformal anomaly (c=1 central charge) onto the timelike boundary of AdS3 by the Noether current corresponds to an inflow of chiral anomaly onto the edge of the disk by the Hall current.

  • Received 17 September 1998

DOI:https://doi.org/10.1103/PhysRevD.59.044028

©1999 American Physical Society

Authors & Affiliations

Y. S. Myung

  • Department of Physics, Inje University, Kimhae 621-749, Korea

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Issue

Vol. 59, Iss. 4 — 15 February 1999

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