Mirror Symmetry and a $G_2$ Flop

Details Mirror Symmetry and a $G_2$ Flop Mirror Symmetry and a $G_2$ Flop

2001-05-22

arxiv.org/abs/hep-th/0105225v2

JHEP 0305 (2003) 061

Physics

High Energy Physics

High Energy Physics - Theory

Identification of parameters as well as the computation of the superpotential is extended to all A-D-E cases. Additional refer

Scientific paper

10.1088/1126-6708/2003/05/061

By applying mirror symmetry to D-branes in a Calabi-Yau geometry we shed light on a $G_2$ flop in M-theory relevant for large $N$ dualities in ${\cal N}=1$ supersymmetric gauge theories. Furthermore, we derive superpotential for M-theory on corresponding $G_2$ manifolds for all A-D-E cases. This provides an effective method for geometric engineering of ${\cal N}=1$ gauge theories for which mirror symmetry gives exact information about vacuum geometry. We also find a number of interesting dual descriptions.

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