Landau-Ginzburg description of D-branes on ALE spaces

We study the Landau-Ginzburg (LG) mirror theory of the nonlinear sigma mode l on the ALE space M obtained by resolving the singularity of the orbifold C-2/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 o f the mirror manifold (M) over cap. Our LG description is quite simple as c ompared with the quiver gauge theory analysis near the orbifold point. Furt hermore our mirror analysis can be applied to any point on the moduli space of M. (C) 2001 Elsevier Science B.V. All rights reserved.