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We calculate magnetic transition moments in the chiral quark-soliton model,with explicit SU(3)-symmetry breaking taken into account. The dynamical modelparameters are fixed by experimental data for the magnetic moments of thebaryon octet and from the recent measurements of $\Theta^{+}$ mass. Knownmagnetic transition moments $\mu_{\Lambda\Sigma}$, $\mu_{N\Delta}$ arereproduced and predictions for other octet-decuplet and octet-antidecuplettransitions are given. In particular $\mu_{\Sigma\Sigma^{\ast}}$ recentlyconstrained by SELEX is shown to be below $0.82 \mu_N$. The recent GRAAL dataon $\eta$ photoproduction off the nucleon are explained in terms of a newnarrow antidecuplet neutron-like resonance.Comment: 14 pages, 9 figures. Final version accepted for publication in  Phys.Rev.

Exotic and nonexotic magnetic transitions in the context of the SELEX and GRAAL experiments