Anomaly-freedom conjecture for solitonic symmetry

Let a quantum field theory possess solitonic symmetry arising from its target-space topological data. Solitonic anomaly-freedom conjecture. Solitonic symmetry is free of ’t Hooft anomaly. The source presents this as a proposed general property in the discussion of gauging higher-group symmetries, but supplies no proof or resolution.

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Primary source

Shi Chen and Yuya Tanizaki, “Solitonic symmetry as non-invertible symmetry: cohomology theories with TQFT coefficients”, arXiv:2307.00939 (2023).

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