# Bootstrapping Mixed Correlators in Three-Dimensional Cubic Theories II

### Submission summary

 As Contributors: Andreas Stergiou Arxiv Link: https://arxiv.org/abs/1911.00522v1 Date submitted: 2019-11-22 Submitted by: Stergiou, Andreas Submitted to: SciPost Physics Discipline: Physics Subject area: High-Energy Physics - Theory Approaches: Theoretical, Computational

### Abstract

Conformal field theories (CFTs) with cubic global symmetry in 3D are relevant in a variety of condensed matter systems and have been studied extensively with the use of perturbative methods like the $\varepsilon$ expansion. In an earlier work, we used the nonperturbative numerical conformal bootstrap to provide evidence for the existence of a previously unknown 3D CFT with cubic symmetry, dubbed "Platonic CFT". In this work, we make further use of the numerical conformal bootstrap to perform a three-dimensional scan in the space of scaling dimensions of three low-lying operators. We find a three-dimensional isolated allowed region in parameter space, which includes both the 3D (decoupled) Ising model and the Platonic CFT. The essential assumptions on the spectrum of operators used to provide the isolated allowed region include the existence of a stress-energy tensor and the irrelevance of certain operators (in the renormalization group sense).

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 1911.00522v1 on 22 November 2019