Nonlinear Realization of Supersymmetry and Superconformal Symmetry

TL;DR

This paper constructs nonlinear realizations of supersymmetry and superconformal symmetry using Goldstino and R axion fields, revealing how these symmetries and their breakings are interconnected.

Contribution

It provides a novel framework for describing spontaneous supersymmetry and R symmetry breaking via nonlinear realizations involving Goldstino and R axion fields.

Findings

Relations between R current, supersymmetry current, and energy-momentum tensor under nonlinear transformations.

Display of nonlinear realizations of superconformal algebra.

Connection between divergences of R, dilatation, and superconformal currents.

Abstract

Nonlinear realizations describing the spontaneous breakown of supersymmetry and R symmetry are constructed using the Goldstino and R axion fields. The associated R current, supersymmetry current and energy-momentum tensor are shown to be related under the nonlinear supersymmetry transformations. Nonlinear realizations of the superconformal algebra carried by these degrees of freedom are also displayed. The divergences of the R and dilatation currents are related to the divergence of the superconformal currents through nonlinear supersymmetry transformations which in turn relates the explicit breakings of these symmetries.