2D CFT — Primary Field Correlators

Two-dimensional conformal field theory predicts exact correlation functions for primary fields. The two-point function ⟨φ(z)φ(w)⟩ = |z−w|^(−4h) and four-point functions are constrained by the Virasoro algebra. Colors show the magnitude of the correlator on the complex plane with one operator fixed at the origin.

0.50
1.00
0.50
⟨φ(z)φ(0)⟩ = |z|^(−4h)