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

Physics – High Energy Physics – High Energy Physics - Theory

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

Scientific paper

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.

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