Continuum limit(s) of BMN matrix model: Where is the (nonabelian) gauge group?

TL;DR

This paper investigates the continuum limits of the BMN matrix model, revealing how different limits lead to distinct Poisson gauge theories on spheres, and highlighting the non-equivalence of these models in the continuum.

Contribution

It demonstrates that continuum limits of the BMN matrix model produce different Poisson gauge theories, depending on classical solutions, and shows their non-equivalence in the continuum.

Findings

Continuum limits yield Poisson gauge theories on spheres.

Models depend on classical solution degeneracy.

Different limits are not equivalent in the continuum.

Abstract

We discuss the continuum limits of Berenstein-Maldacena-Nastase matrix model. They give rise to Poisson bracket gauge field theories on the ordinary two sphere or on a set of two spheres with a gauge groups U(n) depending on the degeneracy of the classical solution about which the model is considered. We show that these models fail to be equivalent among each other in the continuum limit.