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arXiv · 2512.24225

Entropic order parameters and topological holography

Hua-Chen Zhang·Germán Sierra·Javier Molina-Vilaplana
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Abstract

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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Hua-Chen Zhang, Germán Sierra, Javier Molina-Vilaplana. 2025-12-30. Entropic order parameters and topological holography. https://doi.org/10.1007/jhep06(2026)083

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