(Anti-)Brane backreaction beyond perturbation theory

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.

12 pages + appendices, 1 figure; v2: minor changes, version published in JHEP

References in corpus (3)

• Smeared versus localised sources in flux compactifications
• The Backreaction of Anti-M2 Branes on a Warped Stenzel Space
• Large Dimensions and Small Curvatures from Supersymmetric Brane Back-reaction

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