Composite representations of new SUSY algebra under nonlinear SUSY transformations in curved spacetime

TL;DR

This paper explores how nonlinear supersymmetry transformations in curved spacetime can be represented through composite fields, linking nonlinear SUSY with linear SUSY and supergravity in a gravitational context.

Contribution

It introduces a method to linearize nonlinear SUSY in curved spacetime, expressing linear SUSY fields as functionals of fundamental NLSUSY fields within the NLSUSY GR framework.

Findings

Composite representations of SUSY algebra are constructed in curved spacetime.

Linearization of NLSUSY expresses SUSY fields as functionals of fundamental fields.

The approach connects nonlinear SUSY with linear SUSY and supergravity theories.

Abstract

We discuss composite representations of new supersymmetry (SUSY) algebra under nonlinear (NL) SUSY transformations in curved space-time from the viewpoint of nonlinear supersymmetric general relativity (NLSUSY GR)/ SGM scenario. We show in the linearization of NLSUSY how various basic fields in linear SUSY theories/supergravity are expressed as functionals in terms of a vierbein and Nambu-Goldstone fermion fundamental fields in NLSUSY GR.