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We perform for the first time N-body simulations of Interacting Dark Energyassuming non-Gaussian initial conditions, with the aim of investigatingpossible degeneracies of these two theoretically independent phenomena indifferent observational probes. We focus on the large-scale matterdistribution, as well as on the statistical and structural properties ofcollapsed halos and cosmic voids. On very large scales, we show that it ispossible to choose the Interaction and non-Gaussian parameters such that theireffects on the halo power spectrum cancel, and the power spectrum isindistinguishable from a $\mathrm{\Lambda CDM}$ model. On small scales,measurements of the non-linear matter power spectrum, halo-matter bias, haloand subhalo mass function and cosmic void number function validate thedegeneracy determined on large scales. However, the internal structuralproperties of halos and cosmic voids, namely halo concentration-mass relationand void density profile, are very different from those measured in the$\mathrm{\Lambda CDM}$ model, thereby breaking the degeneracy. In practice, thevalues of $\mathrm{f_{NL}}$ required to cancel the effect of interaction arealready ruled by observations. Our results show in principle that thecombination of large- and small-scale probes is needed to constrain InteractingDark Energy and Primordial non-Gaussianity separately.

Cosmic Degeneracies III: N-body Simulations of Interacting Dark Energy with Non-Gaussian Initial Conditions