Quantum Geometries of $A_{2}$

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, more typos fixed and clarifying notes added

Scientific paper

10.1088/1126-6708/2005/02/017

We solve $\mathcal{N}=1$ supersymmetric $A_{2}$ type $U(N)\times U(N)$ matrix models obtained by deforming $\mathcal{N}=2$ with symmetric tree level superpotentials of any degree exactly in the planar limit. These theories can be geometrically engineered from string theories by wrapping D-branes over Calabi-Yau threefolds and we construct the corresponding exact quantum geometries.

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