Holography on tessellations of hyperbolic space
Muhammad Asaduzzaman, Simon Catterall, Jay Hubisz, Roice Nelson, Judah Unmuth-Yockey
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.
Topics & Concepts
ScalingMathematicsHyperbolic spaceScalar (mathematics)Mathematical analysisLattice (music)HolographyBoundary (topology)Truncation (statistics)GeometryPhysicsOpticsStatisticsAcousticsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesNoncommutative and Quantum Gravity Theories