2d CDT is 2d Horava-Lifshitz quantum gravity

TL;DR

This paper demonstrates that the continuum Hamiltonian derived from two-dimensional Causal Dynamical Triangulations (CDT) matches that obtained from quantizing two-dimensional projectable Horava-Lifshitz gravity, linking these approaches.

Contribution

It establishes a direct connection between 2D CDT and 2D projectable Horava-Lifshitz gravity through their continuum Hamiltonians.

Findings

Continuum Hamiltonian of 2D CDT matches that of 2D projectable Horava-Lifshitz gravity.

Provides analytical solution for 2D CDT.

Links lattice quantum gravity with Horava-Lifshitz theory.

Abstract

Causal Dynamical Triangulations (CDT) is a lattice theory where aspects of quantum gravity can be studied. Two-dimensional CDT can be solved analytically and the continuum (quantum) Hamiltonian obtained. In this article we show that this continuum Hamiltonian is the one obtained by quantizing two-dimensional projectable Horava-Lifshitz gravity.