Entropic order parameters and topological holography

• URL: http://arxiv.org/abs/2512.24225v1
• Date: Tue, 30 Dec 2025 13:39:00 GMT
• Title: Entropic order parameters and topological holography
• Authors: Hua-Chen Zhang, Germán Sierra, Javier Molina-Vilaplana,
• Abstract summary: We show that the symmetry topological field theory (SymTFT) construction provides a natural and intuitive framework for the characterising phases with broken symmetries.<n>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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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