  In this paper, we continue our previous study of the low energy effective
theory for D4-brane in the large C-field background. The gauge field part of
the effective action was found in an earlier work. In this paper, we focus on
the matter field part of the action and the supersymmetry transformation.
Moreover, we calculate the central charges of super algebra and extensively
study BPS solutions of this effective theory. The BPS states considered in this
paper include light-like gauge field configurations, the F1 ending on D4
solution, tilted D4-brane, BPS solution with two types of magnetic charges (D2
ending on D4), holomorphic embedding of D4-brane and the intersection of two
D4-branes along a 2-brane.
