Holography on tessellations of hyperbolic space

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.

9 pages, 14 figures

References in corpus (2)

• Critical behavior in spherical and hyperbolic spaces
• Ising model on hyperbolic lattice studied by corner transfer matrix renormalization group method

Cited by in corpus (1)

• HCGR: Hyperbolic Contrastive Graph Representation Learning for Session-based Recommendation