Extrinsic curvature in 2-dimensional Causal Dynamical Triangulation

Understand

Causal Dynamical Triangulations (CDT) is a non-perturbative quantisation of general relativity.

• Ho\v{r}ava-Lifshitz gravity on the other hand modifies general relativity to allow for perturbative quan- tisation.
• Past work has given rise to the speculation that Ho\v{r}ava-Lifshitz gravity might correspond to the continuum limit of CDT.
• In this paper we add another piece to this puzzle by applying the CDT quantisation prescription directly to Ho\v{r}ava-Lifshitz gravity in 2 dimensions.