Warping and F-term uplifting

TL;DR

This paper investigates how warping in string compactifications affects supergravity models, showing that warp factors mainly influence F-terms and exploring implications for moduli stabilization and uplifting to de Sitter vacua.

Contribution

It provides a detailed analysis of warp effects on F- and D-terms in supergravity models with matter, and examines the challenges of achieving Minkowski vacua with string-motivated setups.

Findings

Warp factors modify F-terms but not D-terms.

Achieving Minkowski vacua with reasonable parameters is difficult.

Coupling to an ISS sector can uplift AdS vacua to small gravitino mass.

Abstract

We analyse the effective supergravity model of a warped compactification with matter on D3 and D7-branes. We find that the main effect of the warp factor is to modify the F-terms while leaving the D-terms invariant. Hence warped models with moduli stabilisation and a small positive cosmological constant resulting from a large warping can only be achieved with an almost vanishing D-term and a F-term uplifting. By studying string-motivated examples with gaugino condensation on magnetised D7-branes, we find that even with a vanishing D-term, it is difficult to achieve a Minkowski minimum for reasonable parameter choices. When coupled to an ISS sector the AdS vacua is uplifted, resulting in a small gravitino mass for a warp factor of order 10^-5.