We find classical open string solutions in the AdS 5 × S 5 /Z Z 2 orientifold with angular mo-menta along the five-sphere. The energy of these solutions has an expansion in integral powers of λ with sigma-model corrections suppressed by inverse powers of J -the total angular momentum. This gives a prediction for the exact anomalous dimensions of oper-ators in the large N limit of an N = 2 Sp(N) Super-Yang-Mills theory with matter. We also find a simple map between open and closed string solutions. This gives a prediction for an all-loop planar relationship between the anomalous dimensions of single-trace and two-quark operators in the dual gauge theory.