Goldstino condensation at large N

TL;DR

This paper studies a 4D supersymmetric model with large N, revealing multiple stationary points including a goldstino condensate that restores supersymmetry at low energies, using an effective potential approach.

Contribution

It introduces an effective potential framework for analyzing supersymmetry breaking and restoration in a large N fermionic model, highlighting goldstino condensation phenomena.

Findings

Identification of multiple stationary points in the effective potential.

Demonstration of supersymmetry restoration via goldstino condensation.

Validation of the effective potential approach in the large N limit.

Abstract

We analyze the standard fermionic 4D Volkov-Akulov action with N global non-linear supersymmetries. We find that the stationary points of the system are described by an effective potential, written in terms of two composite real scalar fields, which approaches the exact quantum effective potential in the large N limit. We identify the existence of at least two stationary points, one representing the original supersymmetry breaking configuration and the other one corresponding to goldstino condensation, where supersymmetry is restored in the deep IR.