BTZ black hole and quantum Hall effect in the bulk/boundary dynamics
نویسنده
چکیده
We point out the close relationship between the BTZ black hole and QHE (Quantum Hall effect) in the (2+1)-dimensional bulk/boundary theory. It is shown that the Chern-Simons/Liouville(Chern-Simons/chiral boson) are 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 AdS3 by the Noether current corresponds to an inflow of chiral anomaly onto the edge of disk by the Hall current. In this sense, two models are closely related to each other.
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