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Special Lagrangian sub-manifolds and super-symmetry. (English) Zbl 1273.32026

Summary: 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, Nucl. Phys., B 456, No. 1–2,130-152 (1995; Zbl 0925.81161)]. In this note we would like to explain this relation, more explicitly and with more details than in the current literature.

MSC:

32J81 Applications of compact analytic spaces to the sciences
32Q25 Calabi-Yau theory (complex-analytic aspects)
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
83E50 Supergravity

Citations:

Zbl 0925.81161
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References:

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