Holography and wormholes in 2+1 dimensions

TL;DR

This paper offers a holographic interpretation of 3D wormhole spacetimes with multiple asymptotic regions, revealing their topology and dual states within the gauge/gravity duality framework.

Contribution

It provides a detailed holographic description of 2+1D wormholes with multiple boundaries, linking their topology to dual states and explicit metrics.

Findings

Holographic duals capture non-trivial topology behind horizons.

Wormholes correspond to trivalent graphs with explicit metrics.

Application of real-time gauge/gravity duality yields complete descriptions.

Abstract

We provide a holographic interpretation of a class of three-dimensional wormhole spacetimes. These spacetimes have multiple asymptotic regions which are separated from each other by horizons. Each such region is isometric to the BTZ black hole and there is non-trivial spacetime topology hidden behind the horizons. We show that application of the real-time gauge/gravity duality results in a complete holographic description of these spacetimes with the dual state capturing the non-trivial topology behind the horizons. We also show that these spacetimes are in correspondence with trivalent graphs and provide an explicit metric description with all physical parameters appearing in the metric.