Stabilising all Kahler moduli in perturbative LVS

In this work we investigate the moduli stabilisation problem and the requirements for de Sitter vacua within the framework of type IIB string theory. Using perturbative effects arising from the various sources such as alpha' corrections, logarithmic as well as KK and winding-type string-loop corrections along with the higher derivative F-4-contributions, we present a moduli stabilisation scheme in which the overall volume is realised at exponentially large values such that < V > similar or equal to e(alpha)/g(s)(2) in the weak coupling regime, where a is a parameter given as a = sigma[3]/2 sigma[2] similar or equal to 0.365381. We also present a concrete global construction using a K3-fibred CY threefold with h(1,1) = 3 which shares many of its properties with those of the standard toroidal case, and subsequently generates the appropriate corrections needed to fix all the three Kahler moduli at the perturbative level. We further discuss whether de Sitter vacua can be ensured through appropriate contributions of uplifting terms in the effective potential.

Automated summary

In this work, we investigate the moduli stabilisation problem and the requirements for de Sitter vacua in type IIB string theory. We present a moduli stabilisation scheme that achieves a large overall volume and discuss the possibility of de Sitter vacua through appropriate contributions in the effective potential.