Wormholes in 2d Horǎva-Lifshitz quantum gravity

Abstract

We quantize the two-dimensional projectable Horǎva-Lifshitz gravity with a bi-local as well as space-like wormhole interaction. The resulting quantum Hamiltonian coincides with the one obtained through summing over all genus in the string field theory for two-dimensional causal dynamical triangulations. This implies that our wormhole interaction can be interpreted as a splitting or joining interaction of one-dimensional strings.