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We discuss the signature of the anomalous breaking of the superconformalsymmetry in $\mathcal{N}=1$ super Yang Mills theory, mediated by theFerrara-Zumino hypercurrent ($\mathcal{J}$) with two vector ($\mathcal V$)supercurrents $(\mathcal{JVV})$ and its manifestation in the anomaly action, inthe form of anomaly poles. This allows to investigate in a unified way bothconformal and chiral anomalies. The analysis is performed in parallel to theStandard Model, for comparison. We investigate, in particular, massivedeformations of the $\mathcal{N}=1$ theory and the spectral densities of theanomaly form factors which are extracted from the components of thiscorrelator. In this extended framework it is shown that all the anomaly formfactors are characterized by spectral densities which flow with the massdeformation. In particular, the continuum contributions from the two-particlecuts of the intermediate states turn into into poles in the zero mass limit,with a single sum rule satisfied by each component. Non anomalous form factors,instead, in the same anomalous correlators, are characterized by non-integrablespectral densities. These tend to uniform distributions as one moves towardsthe conformal point, with a clear dual behaviour. As in a previous analysis ofthe dilaton pole of the Standard Model, also in this case the poles can beinterpreted as signaling the exchange of a composite dilaton/axion/dilatino(ADD) multiplet in the effective Lagrangian.[...]

Superconformal Sum Rules and the Spectral Density Flow of the Composite Dilaton (ADD) Multiplet in $\mathcal{N}=1$ Theories