Spin(9) Average of SU(N) Matrix Models I. Hamiltonian

TL;DR

This paper demonstrates a method of group averaging in Spin(9) x SU(N) matrix models, revealing an exact link between the supersymmetric Hamiltonian and a Spin(9) average of a simpler model.

Contribution

It introduces a group averaging technique that connects complex matrix models with simpler lower-dimensional models through an exact correspondence.

Findings

Exact correspondence between supersymmetric Hamiltonian and Spin(9) average

Group averaging method applied to matrix models

Simplification of complex models via averaging

Abstract

We apply a method of group averaging to states and operators appearing in (truncations of) the Spin(9) x SU(N) invariant matrix models. We find that there is an exact correspondence between the standard supersymmetric Hamiltonian and the Spin(9) average of a relatively simple lower-dimensional model.