1206.6369 (Iosif Bena et al.)

Anti-D3's - Singular to the Bitter End    [PDF]

Iosif Bena, Mariana Grana, Stanislav Kuperstein, Stefano Massai

We study the full backreaction of anti-D3 branes smeared over the tip of the deformed conifold. Requiring the 5-form flux and warp factor at the tip to be that of anti-D3 branes, we find a simple power counting argument showing that if the three-form fluxes have no IR singularity, they will be necessarily imaginary-anti-self-dual. Hence the only solution with anti-D3 branes at the tip of the conifold that is regular in the IR and the UV is the anti-Klebanov-Strassler solution, and there is no regular solution whose D3-charge is negative in the IR and positive in the UV.

View original: http://arxiv.org/abs/1206.6369