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Spontaneous symmetry breaking induced by pure Chern-Simons field?

Physics Asked on March 31, 2021

Maybe this is more of a reference request, but I’d also like an explanation of the example (if there is one). An answer with just a reference would suffice though.

Simply put, are there any known $(2+1)d$ QFT’s with fermion matter in which a pure Chern-Simons field is the cause of a $0$ form symmetry spontaneously breaking? Maybe another way to phrase it is if there are known examples in which a $0$ form symmetry is spontaneously broken in the strongly coupled limit of $(2+1)d$ Yang-Mills?

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