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Super-Weyl anomalies in N=2 supergravity and (non)local effective actions

Using the formulation for N=2 conformal supergravity in SU(2) superspace, we define super-Weyl (or superconformal) anomalies and construct two types of nonlocal effective actions that generate these anomalies. We also present the local Wess-Zumino action for spontaneously broken N=2 superconformal symmetry, with the Goldstone supermultiplet identified with a reduced chiral superfield containing the dilaton and the axion among its components.