Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-09-28
JHEP 0701:078,2007
Physics
High Energy Physics
High Energy Physics - Theory
34 pages, 1 figure, LaTeX2e; References added, open issue concerning higher derivative corrections clarified, other minor chan
Scientific paper
10.1088/1126-6708/2007/01/078
We investigate, at the microscopic level, the compatibility between D-term potentials from world-volume fluxes on D7-branes and non-perturbative superpotentials arising from gaugino condensation on a different stack of D7-branes. This is motivated by attempts to construct metastable de Sitter vacua in type IIB string theory via D-term uplifts. We find a condition under which the Kaehler modulus, T, of a Calabi-Yau 4-cycle gets charged under the anomalous U(1) on the branes with flux. If in addition this 4-cycle is wrapped by a stack of D7-branes on which gaugino condensation takes place, the question of U(1)-gauge invariance of the (T-dependent) non-perturbative superpotential arises. In this case an index theorem guarantees that strings, stretching between the two stacks, yield additional charged chiral fields which also appear in the superpotential from gaugino condensation. We check that the charges work out to make this superpotential gauge invariant, and we argue that the mechanism survives the inclusion of higher curvature corrections to the D7-brane action.
Haack Michael
Krefl Daniel
Lust Dieter
Proeyen Antoine Van
Zagermann Marco
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