Uncovering conformal symmetry in the 3D Ising transition II: Conformal fields and operator contents

At a quantum critical point, the low-energy physics of a transverse Ising model is described by conformal field theory (CFT). Based on the newly-discovered Hamiltonian for 3D Ising transition, we build an approximate lattice representation of the corresponding primary CFT operators. We then numerically compute the operator product expansion coefficients governing the fusion of two primary fields. The obtained conformal data starting from a microscopic description nicely agrees with that from conformal boostrap.