A Non-supersymmetric Large N CFT from Type 0 String Theory

TL;DR

This paper constructs a non-supersymmetric large N conformal field theory from type 0 string theory, demonstrating its stability and conformal invariance at large N through explicit gauge theory analysis.

Contribution

It explicitly constructs a non-supersymmetric SU(N) x SU(N) gauge theory from type 0 string theory and shows its conformal invariance at large N.

Findings

The dual gravity background is stable at small radius.

The gauge theory's one-loop beta function vanishes exactly.

The two-loop beta function vanishes in the large N limit.

Abstract

We show that type 0B theory has a classical AdS_5 x S^5 solution and argue that it is stable at the string-theory level for small enough radius. The dual 4-d conformal field theory is the infrared limit of the theory on N electric D3-branes coincident with N magnetic D3-branes. We explicitly construct this SU(N) x SU(N) gauge theory with global SO(6) symmetry and verify that the one-loop term in the beta function vanishes exactly, while the two-loop term vanishes in the large N limit. We find that this theory is related by a certain projection to the maximally supersymmetric Yang-Mills theory suggesting its large N conformal invariance to all orders in perturbation theory.