Linearizing superon-graviton model(SGM)

TL;DR

This paper explores the linearization of the N=1 superon-graviton model, revealing an off-shell supermultiplet with modified supersymmetry transformations that close on the super-Poincaré algebra.

Contribution

It introduces a linearized supergravity-like theory from the nonlinear SGM, with explicit composite fields and modified SUSY transformations.

Findings

Identified 80+80 field content forming an off-shell supermultiplet.

Demonstrated closure of modified SUSY transformations on super-Poincaré algebra.

Ensured local Lorentz invariance in the minimal interaction setup.

Abstract

We attempt the linearization of N=1 SGM action describing the nonlinear supersymmetric gravitational interaction of superon(Nambu-Goldstone fermion). We find that 80+80 field contents may give the off-shell supermultiplet of the supergravity-like linearized theory and they are realized explicitly up to $O(\psi^2)$ as the composites, though they have modified SUSY transformations which closes on super-Poincar\'e algebra. Particular attentions are paid to the local Lorentz invariance in the minimal interaction.