A Generalization of Non-Abelian Anyons in Three Dimensions

TL;DR

This paper presents a new three-dimensional topological phase with immobile excitations and non-Abelian braiding, extending the concept of non-Abelian anyons beyond two dimensions.

Contribution

It introduces an exactly solvable model and a coupled-layer construction for 3D non-Abelian topological matter with unique braiding properties.

Findings

Immobile topological excitations with protected degeneracy

Unitary transformations via braiding point-like excitations

Extension of non-Abelian statistics to three dimensions

Abstract

We introduce both an exactly solvable model and a coupled-layer construction for an exotic, three-dimensional phase of matter with immobile topological excitations that carry a protected internal degeneracy. Unitary transformations on this degenerate Hilbert space may be implemented by braiding certain point-like excitations. This provides a new way of extending non-Abelian statistics to three-dimensions.