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Five-Brane Superpotentials form Heterotic/F-Theory Duality

Albrecht Klemm (Bonn U.)

17.12.2009 at 16:15 

Under heterotic/F-theory duality it was argued that a wide class of heterotic five-branes are mapped into the geometry of an F-theory compactification manifold. In four-dimensional compactifications this identifies a five-brane wrapped on a curve in the base of an elliptically fibered Calabi-Yau threefold with a specific F-theory Calabi-Yau fourfold containing the blow-up of the five-brane curve. We argue that this duality can be reformulated by first constructing a non-Calabi-Yau heterotic threefold by blowing up the curve of the five-brane into a divisor with five-brane flux. Employing heterotic/F-theory duality the latter leads to the construction of a Calabi-Yau fourfold with an explicite dual four-form flux superpotential.

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