Consistent de Sitter String Vacua from Kahler Stabilization and D-term uplifting
Susha L. Parameswaran, Alexander Westphal
TL;DR
The paper addresses realizing metastable $dS_4$ vacua in string theory with reliable moduli stabilization and uplifting within a strictly controlled 4d ${ m N}=1$ supergravity framework. It stabilizes the dilaton and complex structure with fluxes, stabilizes the volume modulus $T$ using perturbative corrections to the Kähler potential (without relying on non-perturbative superpotentials), and uplifts the ${AdS_4}$ minimum with a D-term from a magnetised D7-brane that gauges the $T$-shift symmetry, preserving ${ m N}=1$ consistency via $G=K+ ext{ln}|W|^2$. The key result is an explicit form for the total potential $V=V_F+V_D$ with $V_F$ dominated by perturbative corrections and $V_D hickspace ext{~} rac{9q^2}{(T+ar{T})^3}$, enabling tunable uplift to a metastable ${dS_4}$ vacuum and a high-scale gravitino mass $m_{3/2} hickspace ext{~} ext{~} hickspace e^{K/2}|W| hickspace ext{~} hickspace oughly ~}10^{-2}-10^{-3} M_P$. This provides a string-theoretic embedding of D-term uplifting that respects supergravity constraints and expands the landscape of controllable de Sitter vacua, with implications for inflation model-building and beyond-Standard-Model phenomenology.
Abstract
In this note, we review our construction of de Sitter vacua in type IIB flux compactifications, in which moduli stabilization and D-term uplifting can be combined consistently with the supergravity constraints. Here, the closed string fluxes fix the dilaton and the complex structure moduli while perturbative quantum corrections to the Kähler potential stabilize the volume Kahler modulus in an AdS_4-vacuum. Then, magnetized D7-branes provide consistent supersymmetric D-term uplifting towards dS_4. Based on hep-th/0602253.