Control Issues of KKLT. Issue 11 (30th September 2020)

• Record Type: Journal Article
• Authors: Gao, Xin; Hebecker, Arthur; Junghans, Daniel
• Is Part Of: Fortschritte der Physik. Volume 68:Issue 11/12(2020)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2020-09-30
• Subjects: Physics -- Periodicals; 530.05
• DOI: 10.1002/prop.202000089
• Languages: English
• ISSNs: 0015-8208

Abstract

Abstract: We analyze to which extent the KKLT proposal for the construction of de Sitter vacua in string theory is quantitatively controlled. Our focus is on the quality of the 10d supergravity approximation. As our main finding, we uncover and quantify an issue which one may want to call the "singular‐bulk problem". In particular, we show that, requiring the curvature to be small in the conifold region, one is generically forced into a regime where the warp factor becomes negative in a significant part of the Calabi‐Yau orientifold. This implies true singularities, independent of the familiar, string‐theoretically controlled singularities of this type in the vicinity of O‐planes. We also discuss possible escape routes as well as other control issues, related to the need for a large tadpole and hence for a complicated topology. Abstract : In this paper it is analyzed to which extent the KKLT proposal for the construction of de Sitter vacua in string theory is quantitatively controlled. The focus is on the quality of the 10d supergravity approximation. As main finding, the authors uncover and quantify an issue which one may want to call the "singular‐bulk problem". In particular, it is shown that, requiring the curvature to be small in the conifold region, one is generically forced into a regime where the warp factor becomes negative in a significant part of the Calabi‐Yau orientifold. This implies true singularities, independent of the familiar, string‐theoretically controlled singularities of this type in the vicinity of O‐planes. There is also a discussion about possible escape routes as well as other control issues, related to the need for a large tadpole and hence for a complicated topology.