A diffeomorphism anomaly in every dimension

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Field-theoretic pure gravitational anomalies only exist in $4k+2$ dimensions. However, canonical quantization of non-field-theoretic systems may give rise to diffeomorphism anomalies in any number of dimensions. I present a simple example, where a higher-dimensional generalization of the Virasoro algebra arises upon quantization.
Described Hamiltonian commuting with anomalous diffeomorphism algebra

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