English

Holography on tessellations of hyperbolic space

High Energy Physics - Lattice 2020-09-02 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2005.12726,
  title  = {Holography on tessellations of hyperbolic space},
  author = {Muhammad Asaduzzaman and Simon Catterall and Jay Hubisz and Roice Nelson and Judah Unmuth-Yockey},
  journal= {arXiv preprint arXiv:2005.12726},
  year   = {2020}
}

Comments

9 pages, 14 figures