Low energy supersymmetry from R-symmetries

TL;DR

This paper demonstrates that R-symmetries can naturally lead to supersymmetric vacua with zero superpotential in Wess-Zumino models and explores their realization in string theory, particularly in Type IIB flux compactifications relevant for de Sitter vacua.

Contribution

It proves a general condition linking R-symmetries to supersymmetric vacua with zero superpotential and discusses their realization within string theory frameworks.

Findings

R-symmetries can ensure supersymmetric vacua with zero superpotential.

A landscape of such vacua exists in Type IIB flux compactifications.

Implications for constructing de Sitter vacua in string theory.

Abstract

In a generic setting of Wess-Zumino models, we prove that the existence of a supersymmetric vacuum with a vanishing superpotential can be a consequence of a continuous or discrete R-symmetry when invariant fields are not less than fields transforming in the same way as the superpotential under the R-symmetry. The realization in string theory is discussed. We show that a rich landscape of low energy supersymmetric vacua can be found in the Type IIB flux compactification setup ready for the KKLT construction of de Sitter vacua in string theory.