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arxiv: 2512.24225 · v2 · pith:DEK4TPSGnew · submitted 2025-12-30 · ✦ hep-th · cond-mat.str-el· quant-ph

Entropic order parameters and topological holography

classification ✦ hep-th cond-mat.str-elquant-ph
keywords symmetriestopologicalbrokenentropicholographynon-invertibleordersymtft
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We show that the symmetry topological field theory (SymTFT) construction, also known as the topological holography, provides a natural and intuitive framework for the entropic order parameter characterising phases with (partially) broken symmetries. Various examples of group and non-invertible symmetries are studied. In particular, the origin of the distinguishability of the vacua resulting from spontaneously broken non-invertible symmetries is made manifest with an information-theoretic perspective, where certain operators in the SymTFT are excluded from observation.

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Cited by 2 Pith papers

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