deSitter vacua from uplifting D-terms in effective supergravities from realistic strings

TL;DR

This work formulates a gauge-invariant framework for uplifting AdS vacua to de Sitter via an anomalous U(1) D-term in 4D effective supergravity from string theory. By embedding the nonperturbative superpotential in a gauge-covariant form and incorporating Green-Schwarz anomaly cancellation, the authors show that a non-cancellable D-term can coexist with SUSY-breaking F-terms to raise the KKLT AdS minimum to dS. They derive general conditions for D-term uplift, discuss implications for gaugino condensation and FI terms, and provide explicit Type IIB examples where the mechanism yields stable dS vacua with plausible moduli scales. The results offer a consistent, fully SUSY-preserving alternative to anti-D3-brane uplifting and have potential implications for inflationary models and high-scale SUSY scenarios. Overall, the paper demonstrates concrete realisations of D-term uplifting in realistic string-inspired settings and highlights the role of anomaly cancellation and matter content in determining viability and phenomenology.

Abstract

We study the possibility of using the D-term associated to an anomalous U(1) for the uplifting of AdS vacua (to dS or Minkowski vacua) in effective supergravities arising from string theories, particularly in the type IIB context put forward by Kachru, Kallosh, Linde and Trivedi (KKLT). We find a gauge invariant formulation of such a scenario (avoiding previous inconsistencies), where the anomalous D-term cannot be cancelled, thus triggering the uplifting of the vacua. Then, we examine the general conditions for this to happen. Finally, we illustrate the results by presenting different successful examples in the type IIB context.