  We study two-dimensional N=(2,2) SU(N) super Yang-Mills theory on Euclidean
two-torus using Sugino's lattice regularization. We perform the Monte-Carlo
simulation for N=2,3,4,5 and then extrapolate the result to N = infinity. With
the periodic boundary conditions for the fermions along both circles, we
establish the existence of a bound state in which scalar fields clump around
the origin, in spite of the existence of a classical flat direction. In this
phase the global (Z_N)^2 symmetry turns out to be broken. We provide a simple
explanation for this fact and discuss its physical implications.
