Conformal a-charge, correlation functions and conical defects

In this note we demonstrate that, as we conjectured earlier in [1], the a-charge in the conformal anomaly in dimension d=2nd=2n manifests in a n  -point correlation function of energy–momentum tensor of a CFT considered in flat spacetime with a conical defect. We consider in detail dimensions d=2,4,6d=2,4,6 and give a general formula for arbitrary n.