In supersymmetric AdS4 string compactifications, the cosmological constant keeps the D7-brane four-cycle at finite size, and matching near and far from the brane reproduces, up to an undetermined coefficient, the KKLT Kähler moduli stabilization condition.
(Anti-)Brane backreaction beyond perturbation theory
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abstract
We improve on the understanding of the backreaction of anti-D6-branes in a flux background that is mutually BPS with D6-branes. This setup is analogous to the study of the backreaction of anti-D3-branes inserted in the KS throat, but does not require us to smear the anti-branes or do a perturbative analysis around the BPS background. We solve the full equations of motion near the anti-D6-branes and show that only two boundary conditions are consistent with the equations of motion. Upon invoking a topological argument we eliminate the boundary condition with regular H flux since it cannot lead to a solution that approaches the right kind of flux away from the anti-D6-brane. This leaves us with a boundary condition which has singular, but integrable, H flux energy density.
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K\"ahler moduli stabilization from ten dimensions
In supersymmetric AdS4 string compactifications, the cosmological constant keeps the D7-brane four-cycle at finite size, and matching near and far from the brane reproduces, up to an undetermined coefficient, the KKLT Kähler moduli stabilization condition.