HET Seminar | CFT Data, QFT RG Flows, and the Fuzzy Sphere

The CFT data -- scaling dimensions and OPE coefficients -- of high dimension operators contains valuable information about the theory and its deformations, but is traditionally unobtainable outside of integrable models. We will review how the fuzzy sphere regulator allows numeric access to much of this data in the 3d Ising model, and show how to exploit the emergent conformal generators of the theory to significantly improve it. We discuss some of the applications of this data, including tests of the Eigenstate Thermalization Hypothesis and the spectrum of masses of the QFTs in the vicinity of the critical point.