# Gaugino condensation and small uplifts in KKLT

## TL;DR

This paper examines the consistency of KKLT vacua in type IIB string theory, highlighting a dynamically generated term for tadpole cancellation upon supersymmetry breaking and discussing challenges in engineering suitable warped throats for stabilization.

## Contribution

It demonstrates that tadpole cancellation can be achieved in KKLT vacua through a dynamically generated non-local term after supersymmetry breaking and analyzes the difficulties in constructing appropriate warped throats.

## Key findings

- Tadpole cancellation can be satisfied by a new non-local term in KKLT vacua.
- Engineering long warped throats compatible with bulk CY is challenging in generic compactifications.
- Certain non-generic CY geometries might overcome these challenges.

## Abstract

In the first part of this note we argue that ten dimensional consistency requirements in the form of a certain tadpole cancellation condition can be satisfied by KKLT type vacua of type IIB string theory. We explain that a new term of non-local nature is generated dynamically once supersymmetry is broken and ensures cancellation of the tadpole. It can be interpreted as the stress caused by the restoring force that the stabilization mechanism exerts on the volume modulus. In the second part, we explain that it is surprisingly difficult to engineer sufficiently long warped throats to prevent decompactification which are also small enough in size to fit into the bulk Calabi-Yau (CY). We give arguments that achieving this with reasonable amount of control may not be possible in generic CY compactifications while CYs with very non-generic geometrical properties might evade our conclusion.