Abstract

We investigate for N=1 supersymmetry (SUSY) the relation between a scalar supermultiplet of linear SUSY and a nonlinear (NL) SUSY model including apparently pathological higher derivative terms of a Nambu–Goldstone (N-G) fermion besides the Volkov–Akulov (V-A) action. SUSY invariant relations with higher derivative terms of the N-G fermion, which connect the linear and NL–SUSY models, are constructed at leading orders by heuristic arguments. We discuss a higher derivative action of the N-G fermion in the NL–SUSY model, which apparently includes a (Weyl) ghost field. By using this relation, we also explicitly prove an equivalence between the standard NL–SUSY V-A model and our NL–SUSY model with the pathological higher derivatives as an example with respect to the universality of NL–SUSY actions with the N-G fermion.

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