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arXiv · 1907.07887

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

Hiroyuki Abe·Shuntaro Aoki·Sosuke Imai·Yutaka Sakamura
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Abstract

We study the supersymmetry breaking patterns in four-dimensional $\mathcal{N}=2$ gauged supergravity. The model contains multiple (Abelian) vector multiplets and a single hypermultiplet which parametrizes SO$(4,1)/{\rm{SO}}(4)$ coset. We derive the expressions of two gravitino masses under {\it{general}} gaugings and prepotential based on the embedding tensor formalism, and discuss their behaviors in some concrete models. Then we confirm that in a single vector multiplet case, the partial breaking always occurs when the third derivative of the prepotential exists at the vacuum, which is consistent with the result of Ref.~\cite{Antoniadis:2018blk}, but we can have several breaking patterns otherwise. The discussion is also generalized to the case of multiple vector multiplets, and we found that the full ($\mathcal{N}=0$) breaking occurs even if the third derivative of the prepotential is nontrivial.

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Hiroyuki Abe, Shuntaro Aoki, Sosuke Imai, Yutaka Sakamura. 2019-07-18. Behaviors of two supersymmetry breaking scales in $\mathcal{N}=2$ supergravity. https://doi.org/10.1007/jhep11(2019)101

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