2d CDT is 2d Hořava-Lifshitz quantum gravity

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 Letter we show that this continuum Hamiltonian is the one obtained by quantizing two-dimensional projectable Hořava-Lifshitz gravity.