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<p>We reveal a low-temperature equivalence between the hyperbolic lattice model featuring fractons and infinite decoupled copies of Zabrodin’s <i>p</i>-adic model of AdS/CFT. The core of the equivalence is the subsystem symmetries of the hyperbolic fracton model, which always act on both the boundary and the bulk. These subsystem symmetries are associated with fractal trees embedded in the hyperbolic lattice, which have the same geometry as Zabrodin’s model. The fracton model, rewritten as electrostatics theory on these trees, matches the equation of motion of Zabrodin’s model. The equivalence extends from the action to lattice defects as <i>p</i>-adic black holes.</p>

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p-adic holography from the hyperbolic fracton model

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月13日

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  • Han Yan,
  • Christian B. Jepsen,
  • Yaron Oz

摘要

We reveal a low-temperature equivalence between the hyperbolic lattice model featuring fractons and infinite decoupled copies of Zabrodin’s p-adic model of AdS/CFT. The core of the equivalence is the subsystem symmetries of the hyperbolic fracton model, which always act on both the boundary and the bulk. These subsystem symmetries are associated with fractal trees embedded in the hyperbolic lattice, which have the same geometry as Zabrodin’s model. The fracton model, rewritten as electrostatics theory on these trees, matches the equation of motion of Zabrodin’s model. The equivalence extends from the action to lattice defects as p-adic black holes.