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Abstract: We consider models with a noncompact symmetry in the framework of$\mathcal{N}=1$ supersymmetry. Contrary to the conventional approach, thenoncompact symmetry is realized linearly on all fields without constraints. Themodels are constructed using noncanonical K\-ahler function and gauge kineticfunction, which is introduced for the local case. It is explained that thesymmetry needs to be spontaneously broken for the consistency of a model. Westudy the vacuum structures of two models with the noncompact symmetry SU1,1for both global and local cases. One of them includes two fundamentalrepresentations of the group and the other includes one adjoint representation.It is shown that the former is consistent for the global case and the latter isconsistent for both the global and local cases.



Autor: Kenzo Inoue, Hirofumi Kubo, Naoki Yamatsu

Fuente: https://arxiv.org/







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