Looking for a Matrix model of ABJM

TL;DR

This paper explores the possibility of formulating ABJM theory within a Matrix model framework, analyzing specific solutions and their interpretations as branes or gravitons, and comparing scattering behaviors.

Contribution

It proposes a Matrix-like model perspective for ABJM theory, interpreting vortex and kink solutions as supergravitons and 2-branes, and discusses potential extensions to a full Matrix theory.

Findings

Vortex solutions exhibit supergraviton properties

Kink solutions resemble 2-branes

Scattering results are inconclusive

Abstract

Encouraged by the recent construction of fuzzy sphere solutions in the ABJM theory, we re-analyze the latter from the perspective of a Matrix-like model. In particular, we argue that a vortex solution exhibits properties of a supergraviton, while a kink represents a 2-brane. Other solutions are also consistent with the Matrix-type interpretation. We study vortex scattering and compare with graviton scattering in the massive ABJM background, however our results are inconclusive. We speculate on how to extend our results to construct a Matrix theory of ABJM.