3D N=2 massive super Yang-Mills and membranes/D2-branes in a curved background

TL;DR

This paper derives a novel 3D massive N=2 super Yang-Mills action as a low-energy description of D2-branes in a pp-wave background, connecting M-theory, supermembranes, and D-branes with geometric insights.

Contribution

It introduces a new 3D massive super Yang-Mills action derived from multiple approaches, providing a unified understanding of D2-branes in curved backgrounds.

Findings

Consistent derivation from M-theory, supermembrane, and DBI actions

Geometric interpretation of vacua as tilted membranes and giant gravitons

Unified description of D2-branes in a pp-wave background

Abstract

We present a three dimensional novel massive N=2 super Yang-Mills action as a low energy effective worldvolume description of the D2-branes on a pp-wave. The action contains the Myers term, mass terms for three Higgs, and terms mixing the electric fields with other two Higgs. We derive the action in three different ways, from the M-theory matrix model, from the supermembrane action, and from the Dirac-Born-Infeld action. We verify the consistent mutual agreement and comment how each approach is complementary to another. In particular, we give the eleven dimensional geometric interpretation of the vacua in the worldvolume theory as the membranes tilted to the eleventh direction with the giant gravitons around.