A Comment on Nonsupersymmetric Fixed Points and Duality at large N

TL;DR

This paper discusses the challenges of deriving field theory results from nonsupersymmetric AdS, focusing on stability and duality at large N, and suggests that certain nonsupersymmetric fixed points may correspond to interacting 3D CFTs.

Contribution

It provides insights into the stability of nonsupersymmetric vacua at finite N and explores a weaker form of duality in nonsupersymmetric contexts.

Findings

Stable nonsupersymmetric vacuum at finite N

Potential correspondence to an interacting 3D CFT

Duality statements are weaker due to 1/N corrections

Abstract

We review some of the problems associated with deriving field theoretic results from nonsupersymmetric AdS, focusing on how to control the behavior of the field theory along the flat directions. We discuss an example in which the origin of the moduli space remains a stable vacuum at finite $N$, and argue that it corresponds to an interacting CFT in three dimensions. Associated to this fixed point is a statement of nonsupersymmetric duality. Because 1/N corrections may change the global picture of the RG flow, the statement of duality is much weaker than in the supersymmetric case.