4.3 Article

Five-brane superpotentials and heterotic/F-theory duality

期刊

NUCLEAR PHYSICS B
卷 838, 期 3, 页码 458-491

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ELSEVIER
DOI: 10.1016/j.nuclphysb.2010.06.011

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资金

  1. European Union [MRTN-CT-2004-503069, MRTN-CT-2004-005104, MRTN-CT-2006-035863]
  2. DFG
  3. German Excellence Initiative via Bonn Cologne Graduate School
  4. Deutsche Telekom Stiflung

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Under heterotic/F-theory duality it was argued that a wide class of heterotic five-branes is 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 this leads us to the construction of a Calabi-Yau fourfold and four-form flux. Moreover, we obtain an explicit map between the five-brane superpotential and an F-theory flux superpotential. The map of the open closed deformation problem of a five-brane in a compact Calabi-Yau threefold into a deformation problem of complex structures on a dual Calabi-Yau fourfold with four-form flux provides a powerful tool to explicitly compute the five-branc superpotential. (C) 2010 Elsevier B.V. All rights reserved.

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