Toward linearization of nonlinear supersymmetric Einstein-Hilbert-type action of superon-graviton model(SGM)

TL;DR

This paper explores the linearization of a nonlinear supersymmetric gravitational action in the superon-graviton model, aiming to connect it with supergravity and identify a minimal off-shell supermultiplet.

Contribution

It provides a detailed procedure for linearizing the nonlinear supersymmetry in the SGM and identifies a minimal off-shell supermultiplet of 80 bosons and 80 fermions.

Findings

Explicit linearization up to leading order demonstrated.

Identification of minimal off-shell supermultiplet with 80 bosons and 80 fermions.

Discussion of local Lorentz invariance in the linearization process.

Abstract

We attempt the linearization of the nonlinear supersymmetry encoded in the Einstein-Hilbert-type action {\it superon-graviton model(SGM)} describing the nonlinear supersymmetric gravitational interaction of Nambu-Goldstone fermion {\it superon}. We discuss the linearizaton procedure in detail by the heuristic arguments referring to supergravity, in which particular attentions are paid to the local Lorentz invariance in the minimal interaction. We show explicitly up to the leading order that 80(bosons)+80(fermions) may be the minimal off-shell supermultiplet of the linearized theory.