Comments on Multiple M2-branes

TL;DR

This paper analyzes a recent 3D field theory model for multiple M2-branes, confirming its predictions align with expected M2-brane dynamics and exploring implications like vacuum structure and large n limits.

Contribution

It evaluates physical predictions of a new multiple M2-brane model, confirming its consistency with M2-brane physics and exploring novel features such as fuzzy sphere vacua.

Findings

Quantization of the Chern-Simons coefficient matches expectations.

Vacuum moduli space aligns with M2-brane theory.

Large n limit reproduces M5-brane mass.

Abstract

Recently a three-dimensional field theory was derived that is consistent with all the symmetries expected of the worldvolume action for multiple M2-branes. In this note we examine several physical predictions of this model and show that they are in agreement with expected M2-brane dynamics. In particular, we discuss the quantization of the Chern-Simons coefficient, the vacuum moduli space, a massive deformation leading to fuzzy three-sphere vacua, and a possible large n limit. In this large n limit, the fuzzy funnel solution correctly reproduces the mass of an M5-brane.