${\cal N}=3$ Supersymmetric Effective Action of D2-branes in Massive IIA String Theory

TL;DR

This paper derives a new ${ m N}=3$ supersymmetric Yang-Mills Chern-Simons theory from Higgsing a Gaiotto-Tomasiello model, proposing it as an effective description of D2-branes in massive IIA string theory with D6- and D8-branes.

Contribution

It introduces a novel ${ m N}=3$ Yang-Mills Chern-Simons theory obtained via Higgsing, linking it to D2-branes in a specific string theory background.

Findings

Existence of a ${ m N}=1$ BPS fuzzy funnel solution

The theory is expressed in terms of SU(3) generators excluding $T_8$

Proposed effective description of D2-branes in massive IIA with D6- and D8-branes

Abstract

We obtain a new-type of ${\cal N}=3$ Yang-Mills Chern-Simons theory from the Mukhi-Papageorgakis Higgsing of the ${\cal N}=3$ Gaiotto-Tomasiello theory. This theory has ${\cal N}=1$ BPS fuzzy funnel solution which is expressed in terms of the seven generators of SU(3), excluding $T_8$. We propose that this is an effective theory of multiple D2-branes with D6- and D8-branes background in massive IIA string theory.