For a quantum Hall system with an expanding edge, the authors show the edge carries a covariant gravitational anomaly and the bulk carries an equal and opposite integrated energy flux.
(A2) The covariant totally anti-symmetric tensor is defined by ¯ϵij = √ −hϵij, ¯ϵij = ϵij √ −h (A3) with h := det hij = −ω4
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Anomalous Bulk Current in Quantum Hall Systems with an Expanding Edge
For a quantum Hall system with an expanding edge, the authors show the edge carries a covariant gravitational anomaly and the bulk carries an equal and opposite integrated energy flux.