Abstract
We propose a new type of K\"ahler moduli stabilization mechanisms in type IIB superstring theory on Calabi-Yau manifolds with the positive Euler number. The overall K\"ahler modulus can be perturbatively stabilized by radiative corrections due to sparticles. Its minimum is the anti-de Sitter vacuum, where supersymmetry is broken. We can uplift it to the de Sitter vacuum by introducing anti-D-branes, keeping the modulus stabilized. Although our numerical results depend on the choice of the cutoff scale and degeneracies of sparticles, at any rate there exist the parameter spaces where the masses of Kaluza-Klein and stringy modes are larger than the cutoff scale. Furthermore, this stabilization scenario predicts an ultralight axion.
Highlights
The moduli fields appear ubiquitously in four-dimensional low-energy effective field theory derived from superstring theory on six-dimensional compact space
We have discussed the stabilization of Kähler moduli using the leading α0-corrections and the radiative corrections due to the sparticles within the framework of the type IIB superstring theory on Calabi-Yau orientifolds with D7-branes
When all the volumes of the divisors in CY threefold are sufficiently large in string units, the nonperturbative effects for the Kähler moduli are suppressed enough compared with α0-corrections and the radiative corrections
Summary
The moduli fields appear ubiquitously in four-dimensional low-energy effective field theory derived from superstring theory on six-dimensional compact space. Three-form fluxes in the type IIB superstring theory can stabilize the dilaton S and all the complex structure moduli U at the compactification scale [3] and they generically generate the nonvanishing flux-induced superpotential W0 1⁄4 hWfluxi [4]. Kachru-Kallosh-Linde-Trivedi (KKLT) scenario [5] and large volume scenario (LVS) [6] using the nonperturbative superpotential for the Kähler moduli Such an anti-de Sitter minimum is uplifted to a metastable de Sitter minimum by introducing anti-D3 branes [5].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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.
