de Sitter Vacua with a Nilpotent Superfield

TL;DR

This paper examines the validity of the uplifting procedure in KKLT de Sitter vacua, highlighting issues with supersymmetry consistency and confirming the potential's effectiveness for de Sitter uplift.

Contribution

It demonstrates the inconsistency of the proposed SUSY breaking sector modification with local supersymmetry and confirms the bosonic potential's role in de Sitter uplifting.

Findings

The modification of the SUSY breaking sector is inconsistent with local supersymmetry.

The bosonic potential accurately describes de Sitter uplifting.

The original uplifting procedure remains valid despite the critique.

Abstract

We study the arguments given in [1] which suggest that the uplifting procedure in the KKLT construction is not valid. First we show that the modification of the SUSY breaking sector of the nilpotent superfield, as proposed in [1], is not consistent with non-linearly realized local supersymmetry of de Sitter supergravity. Keeping this issue aside, we also show that the corresponding bosonic potential does actually describe de Sitter uplifting.