M-Branes on Minimal Surfaces

We construct some new brane solutions in M-theory, based on the minimal surfaces. In particular, we consider the anti-self-dual Nutku geometry, and embed it in the membranes and five-branes of the eleven-dimensional supergravity. We explicitly show that the solutions preserve eight supersymmetries. Upon compactification on a circle, we find fully localized intersecting brane systems. We also discuss the T-dual and the decoupling limits of the solutions.