The D5-brane effective action and superpotential in N=1 compactifications
Nov, 200852 pages
Published in:
- Nucl.Phys.B 816 (2009) 139-184
e-Print:
- 0811.2996 [hep-th]
Report number:
- BONN-TH-2008-16
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Abstract: (Elsevier)
The four-dimensional effective action for D5-branes in generic compact Calabi–Yau orientifolds is computed by performing a Kaluza–Klein reduction. The N = 1 Kähler potential, the superpotential, the gauge–kinetic coupling function and the D-terms are derived in terms of the geometric data of the internal space and of the two-cycle wrapped by the D5-brane. In particular, we obtain the D5-brane and flux superpotential by integrating out four-dimensional three-forms which couple via the Chern–Simons action. Also the infinitesimal complex structure deformations of the two-cycle induced by the deformations of the ambient space contribute to the F-terms. The superpotential can be expressed in terms of relative periods depending on both the open and closed moduli. To analyze this dependence we blow up along the two-cycle and obtain a rigid divisor in an auxiliary compact threefold with negative first Chern class. The variation of the mixed Hodge structure on this blown-up geometry is equivalent to the original deformation problem and can be analyzed by Picard–Fuchs equations. We exemplify the blow-up procedure for a non-compact Calabi–Yau threefold given by the canonical bundle over del Pezzo surfaces.- orientifold: Calabi-Yau
- potential: Kaehler
- surface: del Pezzo
- superpotential
- D-brane
- effective action
- dimension: 4
- Picard-Fuchs equation
- compactification
- Chern-Simons term
References(65)
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