Abstract
We study the N = 1 U ( N ) gauge model obtained by spontaneous breaking of N = 2 supersymmetry. The Fayet–Iliopoulos term included in the N = 2 action does not appear in the resulting N = 1 action and the superpotential is modified to break discrete R symmetry. We take a limit in which the Kähler metric becomes flat and the superpotential preserves non-trivial form. The Nambu–Goldstone fermion is decoupled from other fields but the resulting action is still N = 1 supersymmetric. It shows the origin of the fermionic shift symmetry in N = 1 U ( N ) gauge theory.
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