Institute for Advanced Study
Solvable models, Harmonic analysis, and Multipoint Conformal Blocks
We discuss some new aspects of kinematics of conformal field theory, including the inversion formula expressing OPE coefficients in terms of correlation functions, the 6j symbol for the conformal group, and conformal blocks for n-point correlation functions. We then use these results to discuss dynamics of the SYK model. We present the solution to the SYK model, giving formulas for all correlation functions. We end with a discussion of directions for finding richer solvable and chaotic models.