# A 10d view on the KKLT AdS vacuum and uplifting

## TL;DR

This paper investigates the ten-dimensional equations in the KKLT scenario, emphasizing the importance of the quartic gaugino term for removing singularities and comparing two approaches for incorporating gaugino condensation, highlighting their implications for effective field theory.

## Contribution

It clarifies the role of the quartic gaugino term and compares two methods of including gaugino condensation in 10d, showing their different impacts on KKLT effective theory.

## Key findings

- The quartic gaugino term is essential to remove singularities.
- Explicit fermion bilinear vev approach does not reproduce KKLT EFT.
- Alternative approach aligns with KKLT effective field theory.

## Abstract

We analyse the ten-dimensional Einstein equations in the KKLT setting. We verify that the quartic gaugino term is needed to remove singularities in the on-shell action as suggested by Hamada et. al. We contrast two approaches that have been taken in the literature when employing the effect of gaugino condensation in the ten-dimensional equations of motion. Here we follow the proposal to insert explicit non-zero fermion bilinar vev into the localised energy-momentum tensor of the 7-branes obtained from varying the 10d on-shell action with respect to the 10d metric. Our procedure is common in semi-classical physics and is manifestly local in 10d. However, it does not lead to the KKLT effective field theory. The alternative procedure of deriving the energy momentum tensor after replacing fermion bilinears by the gaugino vev, might be less well motivated in 10d, but reproduces the results of the KKLT effective field theory.