Path integral quantization of topologically coupled massive p-form theories shows quantum duality breaking on non-trivial backgrounds, with the difference in required counterterms proportional to the Euler characteristic.
Consistency of the dual formulation of axion solutions to the strong CP problem
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Quantum (non)equivalence of dual massive $p$-form gauge theories
Path integral quantization of topologically coupled massive p-form theories shows quantum duality breaking on non-trivial backgrounds, with the difference in required counterterms proportional to the Euler characteristic.