Linearizing N = 1 nonlinear supersymmetry with higher derivative terms of a Nambu-Goldstone fermion
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 derivaive 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.
Keywords
Cite
@article{arxiv.hep-th/0310097,
title = {Linearizing N = 1 nonlinear supersymmetry with higher derivative terms of a Nambu-Goldstone fermion},
author = {Kazunari Shima and Motomu Tsuda},
journal= {arXiv preprint arXiv:hep-th/0310097},
year = {2009}
}
Comments
8 pages, Latex, some more discussions added and some typos corrected