Abstract
Abstract Anti-D3-branes at the tip of the Klebanov-Strassler solution with D3-charge dissolved in fluxes give rise, in the probe approximation, to a metastable state. The fully back-reacted smeared solution has singular three-form fluxes in the IR, whose presence suggests a stringy resolution by brane polarization à la Polchinski-Strassler. In this paper we show that there is no polarization into anti-D5-branes wrapping the S 2 of the conifold at a finite radius. The singularities therefore do not seem to be physical, signaling that antibranes cannot be used to uplift AdS and obtain a very large landscape of de Sitter vacua in string theory.
Highlights
Singularities in string theory have been studied extensively over more than ten years, and there are two very important lessons that have come out of this study: the first is that if a solution has a singularity one cannot hope to obtain correct physics by doing calculations in some region far away from the singularity, where the curvature is low; the resolution of the singularity may involve low-mass modes that modify the spacetime at macroscopic distances away from the singularity, or may signal an instability of the whole spacetime
One can use a less direct route to this result by remembering a very important feature of the Polchinski-Strassler construction: the D3 branes that polarize into NS5 branes wrapping an S2 inside a three-plane can polarize into D5 branes wrapping an S2 inside an orthogonal plane, and more generally into a (p, q) five-brane wrapping an S2 inside a diagonal three-plane
Things are much better: as shown in [9] and as we will review in section 5.2, the polarization potential is independent of the location of the branes that polarize, and the potential for the D3’s to polarize into D5 branes can be calculated from the smeared near-antibrane solution
Summary
We solved for the full backreaction of anti-D3 branes in the near tip region. we will introduce a useful computational technique and we describe the essential features of regular supersymmetric solutions of the equations of motion, while we expand the results presented in [7], and we prove that there is no singularity-free solution corresponding to smeared anti-D3 branes at the tip of the deformed conifold.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
