Question

Gauge anomaly from conformal dimension?

Answer 1

According to ref.1, the Chern-Simons theory SU(N)kSU(N)k has a ZNZN one-form symmetry with anomaly

η=exp[−2πikN](4.12)(4.12)η=exp⁡[−2πikN]

which, apparently, can be computed by from the known value of the conformal dimension of the ZNZN-generator, to wit,

Δ=(N−1)k2N


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