On the universality of goldstino action

TL;DR

This paper derives a new Goldstino action from N=1 superspace that features higher derivatives and explores its relation to the standard Akulov-Volkov action, advancing understanding of supersymmetry breaking.

Contribution

It introduces a novel Goldstino action with higher derivatives and establishes its potential equivalence to the standard action through field redefinition.

Findings

Derived a new Goldstino action with second-order derivatives.

Proposed a recursive relation characterizing the new action.

Suggested the new action is related to the standard Akulov-Volkov action.

Abstract

We find the Goldstino action descending from the N=1 Goldstone-Maxwell superfield action associated with the spontaneous partial supersymmetry breaking, N=2 to N=1, in superspace. The new Goldstino action has higher (second-order) spacetime derivatives, while it can be most compactly described as a solution to the simple recursive relation. Our action seems to be related to the standard (having only the first-order derivatives) Akulov-Volkov action for Goldstino via a field redefinition.