Anyons from Strings

TL;DR

This paper demonstrates that quantizing the Nambu-Goto string in 3D Minkowski space yields massive states that are anyons, with the superstring version resolving ground state ambiguities and revealing unique massless and excited states.

Contribution

It introduces a Lorentz-invariant, parity-preserving quantization of the 3D Nambu-Goto string, showing the emergence of anyons and resolving ground state ambiguities with a superstring extension.

Findings

Massive states are anyons in 3D.

Superstring resolves ground state ambiguity.

Massless ground states include dilaton and dilatino.

Abstract

The Nambu-Goto string in a 3-dimensional (3D) Minkowski spacetime is quantized preserving Lorentz invariance and parity. The spectrum of massive states contains anyons. An ambiguity in the ground state energy is resolved by the 3D N=1 Green-Schwarz superstring, which has massless ground states describing a dilaton and dilatino, and first-excited states of spin 1/4.