Quantization of axions on dS_D yields Hilbert space H = L^2(S^1) ⊗ F with zero-mode U(1) charge, producing non-dS-invariant charged sectors and Hadamard Wightman functions that become asymptotically invariant.
Garc ´ıa-Valdecasas,Non-invertible symmetries in supergravity, JHEP 04 (2023) 102, [arXiv:2301.00777]
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A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.
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What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries
A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.