Relating the Komargodski-Seiberg and Akulov-Volkov actions: Exact nonlinear field redefinition

This Letter constructs an exact field redefinition that maps the Akulov-Volkov action to that recently studied by Komargodski and Seiberg in [Z. Komargodski, N. Seiberg, JHEP 0909 (2009) 066, arXiv:0907.2441]. This is then used to study the off-shell supersymmetry properties of the Komargodski-Seiberg action. It is also shown that the approach advocated in [A.A. Zheltukhin, Phys. Rev. D 82 (2010) 085005, arXiv:1003.4143v2] and [A.A. Zheltukhin, On equivalence of the Komargodski-Seiberg action to the Volkov-Akulov action, arXiv:1009.2166] for deriving such a field redefinition is inconsistent.