  In previous work, we showed that an anomaly in the one point function of
marginal operators is related by the Wess-Zumino condition to the Euler density
anomaly on a two dimensional defect or boundary. Here we analyze in detail the
two point functions of marginal operators with the stress tensor and with the
displacement operator in three dimensions. We show how to get the boundary
anomaly from these bulk two point functions and find perfect agreement with our
anomaly effective action. For a higher dimensional conformal field theory with
a four dimensional defect, we describe for the first time the anomaly effective
action that relates the Euler density term to the one point function anomaly,
generalizing our result for two dimensional defects.
