Behaviors of two supersymmetry breaking scales in $$ \mathcal{N} $$ = 2 supergravity

Abstract

We study the supersymmetry breaking patterns in four-dimensional N = 2 gauged supergravity. The model contains multiple (Abelian) vector multiplets and a single hypermultiplet which parametrizes SO(4, 1)/SO(4) coset. We derive the expressions of two gravitino masses under general gaugings and prepotential based on the embedding tensor formalism, and discuss their behaviors in some concrete models. Then we show that in a single vector multiplet case, the partial breaking always occurs when the third derivative of the prepotential exists at the vacuum, but we can have several breaking patterns otherwise.

Axionlike particle constraints in gauged N=2 supergravity

“…More generally, in the case with n v = 1, a complex scalar (z 1 ) can have a mass only if the third derivative of the prepotential f 111 is nontrivial. However, as shown in Ref [10,34],. when f 111 = 0, we always have the (partial breaking) vacuum where two vector fields become massive.…”