Representation spaces for the membrane matrix model

TL;DR

This paper analyzes the structure of the potential in the $SU(N)$--invariant matrix model, expressing it as a sum of squares with four frequencies, revealing its spectral properties and $N$-dependence.

Contribution

It provides a new decomposition of the matrix model potential into a sum of squares with explicit frequency and multiplicity calculations, enhancing understanding of its spectral structure.

Findings

Potential expressed as sum of squares with four frequencies

Calculated multiplicities and $N$-dependence of frequencies

Provides insight into the spectral structure of the matrix model

Abstract

The $SU(N)$--invariant matrix model potential is written as a sum of squares with only four frequencies (whose multiplicities and simple $N$--dependence are calculated).