Probing F-theory with multiple branes

We study multiple 3-branes on an F theory orientifold. The world-volume theory of the 3-branes is d = 4, N = 2 Sp(2k) gauge theory with an antisymmetric tensor and four flavors of matter in the fundamental. The solution of this gauge theory is found for vanishing bare mass of the antisymmetric tensor matter, and massive fundamental matter. The integrable system underlying this theory is constructed.