Conformal Field Theory: Two-Point Functions

This lecture covers the calculation of two-point functions in Conformal Field Theory, focusing on scalar primary operators and their spectral density. It delves into the decomposition of states into momentum eigenstates, the two-point function normalization, and the interpretation of the spectral density. The lecture also explores the Euler characteristic, the large-N limit of a vector model, and the scaling dimensions of operators. Additionally, it discusses the Euler characteristic invariance under surface deformations and the spectral density interpretation for specific values of A. The content includes exercises on the Euler characteristic, the large-N limit, and the spectral density interpretation.