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

We obtain a new-type of $\mathcal{N}=3$ Yang-Mills Chern-Simons theory from the Mukhi-Papageorgakis Higgsing of the $\mathcal{N}=3$ Gaiotto-Tomasiello theory. This theory has $\mathcal{N}=1$ 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.