Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations

TL;DR

This paper develops higher derivative corrections to supersymmetric nonlinear realizations within an off-shell superfield formalism, successfully avoiding the auxiliary field problem and providing a manifestly supersymmetric chiral Lagrangian example.

Contribution

It introduces a method to incorporate higher derivative terms into supersymmetric nonlinear realizations without auxiliary field issues.

Findings

Constructed higher derivative corrections free from auxiliary field problems

Developed an off-shell superfield formalism for supersymmetric nonlinear realizations

Presented a manifestly supersymmetric chiral Lagrangian example

Abstract

When global symmetries are spontaneously broken in supersymmetric vacua, there appear quasi-Nambu-Goldstone (NG) fermions as superpartners of NG bosons. In addition to these, there can appear quasi-NG bosons in general. The quasi-NG bosons and fermions together with the NG bosons are organized into chiral multiplets. K\"ahler potentials of low-energy effective theories were constructed some years ago as supersymmetric nonlinear realizations. It is known that higher derivative terms in the superfield formalism often encounter with the auxiliary field problem; the auxiliary fields are acted by space-time derivatives and cannot be eliminated. In this paper, we construct higher derivative corrections to supersymmetric nonlinear realizations in the off-shell superfield formalism free from the auxiliary field problem. As an example, we present manifestly supersymmetric chiral Lagrangian.