Starting from the $\mathcal{ N}=2$ SYM$_{ 4}$ quiver theory living on wrapped $% N_{ i}D5$ branes around $S_{ i}^{ 2}$ spheres of deformed ADE fibered Calabi-Yau threefolds (CY3) and considering deformations using \textit{ % massive} vector multiplets, we explicitly build a new class of $\mathcal{ N}% =1 $ quiver gauge theories. In these models, the quiver gauge group $% \prod_{ i}U(N_{ i}) $ is spontaneously broken down to $% \prod_{ i}SU(N_{ i}) $ and Kahler deformations are shown to be given by the real part of the integral $(2,1) $ form of CY3. We also give the superfield correspondence between the $\mathcal{ N}=1$ quiver gauge models derived here and those constructed in hep-th/0108120 using complex deformations. Others aspects of these two dual $\mathcal{ N}=1$ supersymmetric field theories are discussed.
Categories: hep-th