Abstract
Special Lagrangian sub-manifolds of Calabi–Yau (CY) 3-folds are used to describe membrane instanton solutions of N = 1, 11-dimensional super-gravity theories. Super-symmetry is the essential ingredient that relates super-gravity branes to special Lagrangian sub-manifolds [K. Becker, M. Becker and A. Strominger, Fivebranes, membranes and non-perturbative string theory, Nucl. Phys. B456(1–2) (1995) 135–152]. In this note we would like to explain this relation, more explicitly and with more details than in the current literature.
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