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

TL;DR

This paper establishes an exact nonlinear field redefinition linking the Akulov-Volkov and Komargodski-Seiberg actions, clarifying their relationship and critiquing previous inconsistent approaches.

Contribution

It provides a precise nonlinear field redefinition connecting two key supersymmetric actions, resolving previous inconsistencies in their relationship.

Findings

Constructed an exact field redefinition between the actions.

Demonstrated the inconsistency of prior derivation methods.

Clarified the relationship between the Akulov-Volkov and Komargodski-Seiberg actions.

Abstract

This paper constructs an exact field redefinition that maps the Akulov-Volkov action to that recently studied by Komargodski and Seiberg in arXiv:0907.2441. It is also shown that the approach advocated in arXiv:1003.4143v2 and arXiv:1009.2166 for deriving such a relationship is inconsistent.