Wormholes in 2d Horava-Lifshitz quantum gravity

TL;DR

This paper quantizes 2D Horava-Lifshitz gravity with wormhole interactions, revealing a connection to string field theory and interpreting wormholes as string splitting/joining processes.

Contribution

It introduces a novel quantization of 2D Horava-Lifshitz gravity with wormholes, linking it to string field theory and providing a new perspective on wormhole interactions.

Findings

Quantum Hamiltonian matches string field theory results

Wormhole interactions correspond to string splitting/joining

Establishes a link between quantum gravity and string theory in 2D

Abstract

We quantize the two-dimensional projectable Horava-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.