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

Abstract

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.

22 pages, positive definite form of potential is added, some comments are changed

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Cited by in corpus (1)

• BPS Vortices, $Q$-balls, and $Q$-vortices in $\mathcal{N}=6$} Chern-Simons Matter Theory