On Non-Supersymmetric CFT in Four Dimensions

TL;DR

This paper demonstrates that certain non-supersymmetric four-dimensional conformal field theories derived from Type 0 string theory exhibit vanishing beta functions and planar amplitudes identical to those of N=4 supersymmetric theories, indicating conformal invariance.

Contribution

It establishes that non-supersymmetric theories from Type 0 string theory are planar equivalent to N=4 SYM, with vanishing beta functions and identical planar amplitudes, expanding the understanding of conformal invariance without supersymmetry.

Findings

Vanishing beta function in the planar limit for these theories.

Planar amplitudes match those of N=4 SYM up to coupling rescaling.

Theories are tadpole-free orbifolds with SO(6) symmetry.

Abstract

We show that the $\mathcal{N}=0$ theories on the self-dual D3-branes of Type 0 string theory are in the class of the previously considered tadpole-free orbifolds of $\mathcal{N} = 4$ theory (although they have SO(6) global symmetry) and hence have vanishing beta function in the planar limit to all orders in 't Hooft coupling. Also, all planar amplitudes in this theory are equal to those of $\mathcal{N} = 4$ theory, up to a rescaling of the coupling.