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arXiv · 2005.12726

Holography on tessellations of hyperbolic space

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

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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Muhammad Asaduzzaman, Simon Catterall, Jay Hubisz, Roice Nelson, Judah Unmuth-Yockey. 2020-08-14. Holography on tessellations of hyperbolic space. https://doi.org/10.1103/physrevd.102.034511

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