New open string solutions in AdS5

We describe new solutions for open string moving in AdS5 and ending in the boundary, namely, dual to Wilson loops in N=4 SYM theory. First we introduce an ansatz for Euclidean curves whose shape contains an arbitrary function. They are Bogomol'nyi-Prasad-Sommerfield monopoles (BPS) and the dual surfaces can be found exactly. After an inversion they become closed Wilson loops whose expectation value is W=exp(-√(λ)). After that we consider several Wilson loops for N=4 SYM in a pp-wave metric and find the dual surfaces in an AdS5 pp-wave background. Using the fact that the pp-wave is conformally flat, we apply a conformal transformation to obtain novel surfaces describing strings moving in AdS space in Poincare coordinates and dual to Wilson loops for N=4 SYM in flat space