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2019

Bootstrapping Mixed Correlators in Three-Dimensional Cubic Theories II

Kousvos, Stefanos R., Stergiou, Andreas

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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.

Bootstrapping Mixed Correlators in Three-Dimensional Cubic Theories II · Around

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