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 central charge) onto the timelike boundary of 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