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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