Aspects of gauged R-symmetry in SU(1,1)/U(1) supergravity

TL;DR

This paper introduces a new way to achieve spontaneous supersymmetry breaking in de Sitter space within N=1 supergravity, utilizing gauged R-symmetry and F- and D-term contributions, leading to models with positive cosmological constant.

Contribution

It presents a novel construction of SUSY breaking in supergravity with gauged R-symmetry and explores conditions for no-scale models with positive cosmological constant.

Findings

SUSY and R-symmetry can be simultaneously spontaneously broken.

Constructed models include no-scale supergravity with tunable positive cosmological constant.

Gauged U(1)_R symmetry rotates the chiral scalar field by a phase.

Abstract

We propose a novel realization of spontaneous supersymmetry breaking in de Sitter vacuum by F- and D-terms in $N=1$ four-dimensional supergravity coupled to a chiral superfield with $SU(1,1)/U(1)$ target space. Our construction features gauged $U(1)_R$ symmetry rotating the chiral scalar field by a phase. Both SUSY and R-symmetry can be spontaneously broken, and for two particular parameter choices we obtain no-scale supergravity with positive tunable cosmological constant.