What is the central formula used to calculate correlation functions in Conformal Field Theory?

The Conformal Bootstrap Equation is a central formula in Conformal Field Theory (CFT) used to compute correlation functions. It is a set of nonlinear functional equations that constrain the allowed values of correlation functions based on the symmetries of the theory. By solving the Conformal Bootstrap Equation, physicists can extract valuable information about the spectrum of operators, scaling dimensions, and operator product coefficients in a conformally invariant theory. This approach has been instrumental in advancing our understanding of critical phenomena, phase transitions, and the emergence of universal behavior in various physical systems.