Hyperbolic Fracton Model, Subsystem Symmetry and Holography III: Extension to Generic Tessellations

• URL: http://arxiv.org/abs/2510.25994v1
• Date: Wed, 29 Oct 2025 22:10:04 GMT
• Title: Hyperbolic Fracton Model, Subsystem Symmetry and Holography III: Extension to Generic Tessellations
• Authors: Yosef Shokeeb, Ludovic D. C. Jaubert, Han Yan,
• Abstract summary: We generalize the Hyperbolic Fracton Model from the $5,4$ tessellation to generic tessellations.<n>Subsystem symmetries, fracton mobility, and holographic correspondence are investigated.
• Score: 8.819350777284008
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We generalize the Hyperbolic Fracton Model from the $\{5,4\}$ tessellation to generic tessellations, and investigate its core properties: subsystem symmetries, fracton mobility, and holographic correspondence. While the model on the original tessellation has features reminiscent of the flat-space lattice cases, the generalized tessellations exhibit a far richer and more intricate structure. The ground-state degeneracy and subsystem symmetries are generated recursively layer-by-layer, through the inflation rule, but without a simple, uniform pattern. The fracton excitations follow exponential-in-distance and algebraic-in-lattice-size growing patterns when moving outward, and depend sensitively to the tessellation geometry, differing qualitatively from both type-I or type-II fracton model on flat lattices. Despite this increased complexity, the hallmark holographic features -- subregion duality via Rindler reconstruction, the Ryu-Takayanagi formula for mutual information, and effective black hole entropy scaling with horizon area -- remain valid. These results demonstrate that the holographic correspondence in fracton models persists in generic tessellations, and provide a natural platform to explore more intricate subsystem symmetries and fracton physics.

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