Exact Wavefunctions for non-Abelian Chern-Simons Particles

TL;DR

This paper derives exact wavefunctions for non-Abelian Chern-Simons particles using a ladder operator approach, extending methods from multi-anyon systems and emphasizing monodromy-preserving operators.

Contribution

It introduces a novel application of ladder operators to construct exact wavefunctions for NACS particles, utilizing multi-valued base states defined via path-ordered integrals.

Findings

Exact wavefunctions for NACS particles are obtained.

The method extends previous approaches used for multi-anyon systems.

Operators that preserve monodromy generate new valid states.

Abstract

Exact wavefunctions for N non-Abelian Chern-Simons (NACS) particles are obtained by the ladder operator approach. The same method has previously been applied to construct exact wavefunctions for multi-anyon systems. The two distinct base states of the NACS particles that we use are multi-valued and are defined in terms of path ordered line integrals. Only strings of operators that preserve the monodromy properties of these base states are allowed to act on them to generate new states.