Orthogonal basis for the energy eigenfunctions of the Chern-Simons matrix model

TL;DR

This paper investigates the spectrum of the Chern-Simons matrix model, establishing an orthogonal basis of energy eigenfunctions and exploring its relation to the Calogero model spectrum.

Contribution

It introduces an orthogonal basis for the energy eigenfunctions of the Chern-Simons matrix model and discusses its connection to the Calogero model spectrum.

Findings

Identified an orthogonal set of states for the Chern-Simons matrix model

Established a connection between the Chern-Simons and Calogero model spectra

Provided insights into the spectral properties of the model

Abstract

We study the spectrum of the Chern-Simons matrix model and identify an orthogonal set of states. The connection to the spectrum of the Calogero model is discussed.