On the Moduli Space of Elliptic Maxwell-Chern-Simons Theories

We analyze the moduli space of the low-energy limit of 3-dimensional M = 3 Maxwell-Chern-Sinions theories described by circular quiver diagrams, as for 4-dimensional elliptic models. We define the theories by using D3-NS5-(k,1)5-brane systems with an arbitrary number of fivebranes. The supersymmetry is expected to be enhanced to N = 4 in the low-energy, limit. We show that the Higgs branch, in which all bifundamental scalar fields develop vacuum expectation values, is an abelian orbifold of C-4. We confirm that the same-geometry is obtained as an M-theory dual of the brane system. We also consider theories realized by introducing more than two kinds of fivebranes, and obtain nontoric fourfolds as moduli spaces.