# Eternal traversable wormholes in three dimensions

## TL;DR

This paper constructs three-dimensional eternal traversable wormholes in AdS space by coupling gravity to matter fields and analyzing boundary graviton dynamics, providing a lower-dimensional analogue of known higher-dimensional wormholes.

## Contribution

It introduces a new class of eternal traversable wormholes in three-dimensional gravity with matter, extending the concept to a lower-dimensional setting and analyzing their boundary dynamics.

## Key findings

- Existence of eternal traversable wormholes in 3D gravity with matter.
- Identification of boundary graviton field theory in this context.
- Calculation of gravitational fluctuation spectrum.

## Abstract

We consider three-dimensional gravity with negative cosmological constant coupled to a large number of light matter fields dual to relevant operators. By imposing suitable boundary conditions on the matter fields we find eternal traversable wormhole deformations of the BTZ black hole, leading to a three-dimensional analogue of the AdS$_{2}$ eternal traversable wormhole found by Maldacena and Qi. We further identify the field theory of boundary gravitons in this setting, which we then use to compute the spectrum of gravitational fluctuations.