U(1)_R mediation from the flux compactification in six dimensions

TL;DR

This paper develops a supersymmetric 6D model with codimension-two branes, deriving a new background solution and analyzing how U(1)_R mediation can dominate SUSY breaking in the effective 4D theory.

Contribution

It introduces a supersymmetric football solution in 6D supergravity with stabilized moduli and demonstrates the dominance of U(1)_R mediation in SUSY breaking.

Findings

New supersymmetric football solution with 4D Minkowski space

Moduli stabilization via non-perturbative effects and uplifting potentials

U(1)_R mediation as a primary SUSY breaking mechanism

Abstract

We consider a supersymmetric completion of codimension-two branes with nonzero tension in a 6D gauged supergravity. As a consequence, we obtain the football solution with 4D Minkowski space as a new supersymmetric background that preserves 4D N=1 SUSY. In the presence of brane multiplets, we derive the 4D effective supergravity action for the football background and show that the remaining modulus can be stabilized by a bulk non-perturbative correction with brane uplifting potentials at a zero vacuum energy. We find that the U(1)_R mediation can be a dominant source of SUSY breaking for a brane scalar with nonzero R charge.