Conformal Ward Identities

This lecture covers the stress tensor, Weyl invariance, and the integral form of conformal Ward identities. The stress tensor is defined on a manifold with metric, and the lecture delves into the quantum definition of the stress tensor. The concept of Weyl invariance in generic conformal field theories is discussed, along with the application of conformal Ward identities. The integral form of these identities is explored, emphasizing the relationship between correlators in the background geometry. The lecture concludes with the discussion of the variance and the div. theorem in the context of conformal Ward identities.