Orientifold daughter of N=4 SYM and double-trace running

TL;DR

This paper investigates whether the orientifold daughter of N=4 SYM remains conformal at large N by analyzing double-trace term renormalization, finding it does not suffer from double-trace running, thus maintaining conformal invariance.

Contribution

It provides a diagrammatic analysis showing the orientifold daughter avoids double-trace running, supporting its status as a non-supersymmetric conformal field theory at large N.

Findings

No double-trace running in the orientifold daughter.

Supports large N equivalence with N=4 SYM.

Maintains conformal invariance at leading order.

Abstract

We study the orientifold daughter of N=4 super Yang-Mills as a candidate non-supersymmetric large N conformal field theory. In a theory with vanishing single-trace beta functions that contains scalars in the adjoint representation, conformal invariance might still be broken by renormalization of double-trace terms to leading order at large N. In this note we perform a diagrammatic analysis and argue that the orientifold daughter does not suffer from double-trace running. This implies an exact large N equivalence between this theory and a subsector of N=4 SYM.