Calibrated brane solutions of M -theory

Close studies of the solitonic solutions of D = 11 [special characters omitted] = 1 supergravity theory provide a deeper understanding of the elusive M-theory and constitute steps towards its final formulation. In this work, we propose the use of calibration techniques to find localized intersecting brane solutions of the theory. We test this hypothesis by considering Kähler and special Lagrangian calibrations. We also discuss the interpretation of some of these results as branes wrapped or reduced over supersymmetric cycles of Calabi-Yau manifolds and we find the corresponding solutions in D = 5 [special characters omitted] = 2 supergravity.