More on the universality of the Volkov-Akulov action under N = 1 nonlinear supersymmetry

TL;DR

This paper explores the universality of the Volkov-Akulov action in nonlinear supersymmetry, establishing relations and invariant constraints that connect various nonlinear SUSY actions to the original V-A form.

Contribution

It demonstrates the general relations between the V-A action and other nonlinear SUSY actions, including those with higher derivatives, and constructs invariant constraints linking them.

Findings

Established relations between V-A and nonlinear SUSY actions.

Derived invariant constraints connecting different NL SUSY actions.

Provided explicit solutions showing equivalence to the V-A action.

Abstract

We discuss further the universality of the Volkov-Akulov (V-A) action of a Nambu-Goldstone (N-G) fermion for the spontaneous breaking of supersymmetry (SUSY). We show general relations between the standard V-A action and nonlinear (NL) SUSY actions including apparently (pathological) higher derivatives of the N-G fermion. Composite fields of the N-G fermions are found, which transform homogeneously under NL SUSY transformations of V-A. Consequently, we obtain NL SUSY invariant constraints which connect our NL SUSY actions with the V-A action. The constraints are explicitly solved and we show examples of the NL SUSY actions which are equivalent to the V-A action.