Landau-Ginzburg Description of D-branes on ALE Spaces

Details Landau-Ginzburg Description of D-branes on ALE Spaces Landau-Ginzburg Description of D-branes on ALE Spaces

2000-11-13

arxiv.org/abs/hep-th/0011101v2

Nucl.Phys. B599 (2001) 361-380

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 6 figures, reference added, typos corrected

Scientific paper

10.1016/S0550-3213(00)00758-6

We study the Landau-Ginzburg (LG) mirror theory of the non-linear sigma model on the ALE space ${\cal M}$ obtained by resolving the singularity of the orbifold ${\bf C}^2/{\bf Z}_N$. In the LG description, the data of the BPS spectrum and the lines of marginal stability are encoded in the special Lagrangian submanifolds of the mirror manifold $\hat{{\cal M}}$. Our LG description is quite simple as compared with the quiver gauge theory analysis near the orbifold point. Furthermore our mirror analysis can be applied to any point on the moduli space of ${\cal M}$.

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