(Anti-)brane backreaction beyond perturbation theory

Abstract

We improve on the understanding of the backreaction of anti-D6-branes in a ux 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 ux since it cannot lead to a solution that approaches the right kind of ux away from the anti-D6-branes. This leaves us with a boundary condition which has singular, but integrable, H ux energy density.