The chirally split diffeomorphism anomaly and the μ-holomorphic projective connection

The relationship between the μ-holomorphic projective connection and the action ΓII necessary to write down the chirally split diffeomorphism anomaly when it is shifted to the Weyl anomaly is given. Then, using the δ bar-Cauchy kernel on the complex plane to solve the μ-holomorphic projective connection equation, we get the general expression for this type of projective connection. This enables us to compute the Green's functions contribution of the action ΓII to the shifting scheme. (author)