Conformal Quasicrystals and Holography

Latham Boyle; Madeline Dickens; Felix Flicker

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Conformal Quasicrystals and Holography

机译：保形拟类和全息术

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Recent studies of holographic tensor network models defined on regular tessellations of hyperbolic space have not yet addressed the underlying discrete geometry of the boundary. We show that the boundary degrees of freedom naturally live on a novel structure, a “conformal quasicrystal,” that provides a discrete model of conformal geometry. We introduce and construct a class of one-dimensional conformal quasicrystals and discuss a higher-dimensional example (related to the Penrose tiling). Our construction permits discretizations of conformal field theories that preserve an infinite discrete subgroup of the global conformal group at the cost of lattice periodicity.

机译：最近对常规曲线空间定义的全息张量网络模型的研究尚未解决边界的基础离散几何形状。我们表明，边界自由度自然地生活在新颖的结构上，是一种“共形状的拟言论”，它提供了一个共形几何形状的离散模型。我们介绍并构建一类一维共形式的准静态，并讨论更高的实例（与Peprose Tilly相关）。我们的建筑允许以格子周期性成本保持全局保形群体的无限离散子群的共形野外理论的离散化。

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《Physical Review X》 |2020年第1期|共10页
作者
Latham Boyle; Madeline Dickens; Felix Flicker;
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Condensed Matter PhysicsInterdisciplinary PhysicsString Theory;

机译：浓缩物理物理听力物理学理论;

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Conformal Quasicrystals and Holography

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