  We discuss a left-right symmetric extension of the Standard Model in which
the three additional right-handed neutrinos play a central role in explaining
the baryon asymmetry of the Universe, the dark matter abundance and the ultra
energetic signal detected by the IceCube experiment. The energy spectrum and
neutrino flux measured by IceCube are ascribed to the decays of the lightest
right-handed neutrino $N_1$, thus fixing its mass and lifetime, while the
production of $N_1$ in the primordial thermal bath occurs via a freeze-in
mechanism driven by the additional $SU(2)_R$ interactions. The constraints
imposed by IceCube and the dark matter abundance allow nonetheless the heavier
right-handed neutrinos to realize a standard type-I seesaw leptogenesis, with
the $B-L$ asymmetry dominantly produced by the next-to-lightest neutrino $N_2$.
Further consequences and predictions of the model are that: the $N_1$
production implies a specific power-law relation between the reheating
temperature of the Universe and the vacuum expectation value of the $SU(2)_R$
triplet; leptogenesis imposes a lower bound on the reheating temperature of the
Universe at $7\times10^9\,\mbox{GeV}$. Additionally, the model requires a
vanishing absolute neutrino mass scale $m_1\simeq0$.
