CDT and Horava-Lifshitz QG in Two Dimensions

Abstract

The two-dimensional causal dynamical triangulations ($2$d CDT) is a lattice model of quantum geometry. In $2$d CDT, one can deal with the quantum effects analytically and explore the physics through the continuum limit. The continuum theory is known to be two-dimensional projectable Horava-Lifshitz quantum gravity ($2$d projectable HL QG). In this chapter, we wish to review the very relation between $2$d CDT and $2$d projectable HL QG in detail.

Invited chapter for the "Handbook of Quantum Gravity" (Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer Singapore, expected in 2023); v2: references added, typos corrected; v3: minor corrections; v4: typos fixed, grant reference added