Explicit analysis of Kähler deformations in 4D N=1 supersymmetric quiver theories

Starting from the N=2 SYM4 quiver theory living on wrapped Ni D5-branes around Si2 spheres of deformed ADE fibered Calabi–Yau threefolds (CY3) and considering deformations using massive vector multiplets, we explicitly build a new class of N=1 quiver gauge theories. In these models, the quiver gauge group ∏iU(Ni) is spontaneously broken down to ∏iSU(Ni) and Kähler 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 N=1 quiver gauge models derived here and those constructed by Cachazo et al. [hep-th/0108120] using complex deformations. Other aspects of these two dual N=1 supersymmetric field theories are discussed.