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Title:
String Dualities and an Infinity of Associative Submanifolds
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Abstract:
By applying the F-theory/heterotic/M-theory duality chain the non-perturbative superpotential in F-theory discovered by Donagi, Grassi and Witten was recently used to conjecture that a certain M-theory G2-manifold contains an infinite number of associative sub-manifolds, i.e. three-cycles calibrated with respect to the G2 three-form. The corresponding M-theory superpotential derives from Euclidean M2 branes wrapping these associatives. I will prove the existence of these associative three-cycles at a certain orbifold point of the G2 manifold, and connect the corresponding F-theroy superpotential through the M-theory/IIA/IIB/F-theory duality chain.
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