From N M2's to N D2's

TL;DR

This paper demonstrates how to derive N=8 U(N) Yang-Mills theories from N=6 U(N)xU(N) Chern-Simons theories, effectively describing the transition from M2-branes to D2-branes and exploring supersymmetry enhancement.

Contribution

It provides a novel reduction scheme connecting M2-brane theories to D2-brane theories, extending previous work and suggesting applications to new Bagger-Lambert models.

Findings

Supersymmetry is enhanced in the reduction process.

The reduction scheme aligns with Mukhi and Papageorgakis's earlier work.

Potential application to a broader class of Bagger-Lambert models.

Abstract

In this short note, we reduce the N=6, U(N)xU(N) Chern-Simons gauge theories to N=8, U(N) Yang-Mills gauge theories. This process corresponds to recovering the world-volume theory of N D2-branes from that of N M2-branes in an intermediate energy range. The supersymmetries are enhanced because in this limit the branes localize far away from the orbifold singularity. Our main scheme is exactly in accordance with Mukhi and Papageorgakis's earlier work, although the Higgs mechanism becomes trickier in the present case. We also speculate on applying the scheme to a large class of new Bagger-Lambert models more generally.