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- W2896794958 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 <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>ε</mml:mi></mml:math> 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)." @default.
- W2896794958 created "2018-10-26" @default.
- W2896794958 creator A5042932661 @default.
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- W2896794958 date "2020-06-09" @default.
- W2896794958 modified "2023-10-13" @default.
- W2896794958 title "Bootstrapping mixed correlators in three-dimensional cubic theories II" @default.
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- W2896794958 doi "https://doi.org/10.21468/scipostphys.8.6.085" @default.
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