Emergent Supersymmetry in the Marginal Deformations of N=4 SYM

TL;DR

This paper demonstrates that certain non-supersymmetric deformations of N=4 SYM theory naturally evolve into supersymmetric fixed points under renormalization group flow, revealing emergent supersymmetry.

Contribution

It shows that supersymmetry can emerge dynamically from non-supersymmetric marginal deformations in N=4 SYM via RG flow analysis.

Findings

Non-supersymmetric deformations flow to supersymmetric IR fixed points

Supersymmetry emerges as a result of RG flow in the planar limit

The a-function analysis reveals the flow dynamics leading to supersymmetry

Abstract

We study the one loop renormalization group flow of the marginal deformations of N=4 SYM theory using the a-function. We found that in the planar limit some non-supersymmetric deformations flow to the supersymmetric infrared fixed points described by the Leigh-Strassler theory. This means supersymmetry emerges as a result of renormalization group flow.