Entropic order parameters and topological holography
High Energy Physics - Theory
2026-01-01 v1 Strongly Correlated Electrons
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2512.24225,
title = {Entropic order parameters and topological holography},
author = {Hua-Chen Zhang and Germán Sierra and Javier Molina-Vilaplana},
journal= {arXiv preprint arXiv:2512.24225},
year = {2026}
}
Comments
25 pages, 5 figures