论文标题

双曲空间的镶嵌全息图

Holography on tessellations of hyperbolic space

论文作者

Asaduzzaman, Muhammad, Catterall, Simon, Hubisz, Jay, Nelson, Roice, Unmuth-Yockey, Judah

论文摘要

我们计算标量字段的边界相关函数在二维双曲几何形状的镶嵌上。我们提出了证据表明,标量质量质量与与边界到边界相关函数相关的缩放维度之间的连续关系在与晶格上近似连续双曲线空间的截断中幸存下来。

We compute boundary correlation functions for scalar fields on tessellations of two- and three-dimensional hyperbolic geometries. We present evidence that the continuum relation between the scalar bulk mass and the scaling dimension associated with boundary-to-boundary correlation functions survives the truncation of approximating the continuum hyperbolic space with a lattice.

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