Abstract
We investigate the vacuum structure of four-dimensional effective theory arising from Type IIB flux compactifications on a mirror of the rigid Calabi-Yau threefold, corresponding to a T-dual of the DeWolfe-Giryavets-Kachru-Taylor model in Type IIA flux compactifications. By analyzing the vacuum structure of this interesting corner of string landscape, it turns out that there exist perturbatively unstable de Sitter (dS) vacua in addition to supersymmetric and non-supersymmetric anti-de Sitter vacua. On the other hand, the stable dS vacua appearing in the low-energy effective action violate the tadpole cancellation condition, indicating a strong correlation between the existence of dS vacua and the flux-induced D3-brane charge (tadpole charge). We also find analytically that the tadpole charge constrained by the tadpole cancellation condition emerges in the scalar potential in a nontrivial way. Thus, the tadpole charge would restrict the existence of stable dS vacua, and this fact underlies the statement of the dS conjecture. Furthermore, our analytical and numerical results exhibit that distributions of mathcal{O}(1) parameters in expressions of several swampland conjectures peak at specific values.
Highlights
The Standard Model are determined by their vacuum expectation values (VEVs) in string compactifications
We extensively studied the vacuum structure of 4D effective field theories arising from Type IIB flux compactifications on the mirror of the rigid CY threefold
Since all the closed string moduli can be stabilized by three-form fluxes themselves due to the absence of Kähler structure deformations, such a class of flux compactifications plays a crucial role in revealing the vacuum structure of flux vacua and in testing the swampland conjectures
Summary
After briefly reviewing Type IIB flux compactifications with special geometry, we derive the effective moduli action, where the dilaton Kähler potential receives the correction from the effect of fixed Kähler moduli. We refer the details of the background geometry to refs. We refer the details of the background geometry to refs. [27, 30]
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.
