Explicit Analysis of Kahler Deformations in 4D N=1 Supersymmetric Quiver Theories

Abstract

Starting from the $\mathcal{N}=2$ SYM${}_4$ quiver theory living on wrapped 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 $\mathcal{N}$ quiver gauge theories. In these models, the quiver gauge group is spontaneously broken down to 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.

12 pages, 1 figure

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