Multi-wavelength afterglow emission from bursts associated with magnetar flares and fast radio bursts

Magnetars have been considered as progenitors of magnetar giant flares (MGFs) and fast radio bursts (FRBs). We present detailed studies on afterglow emissions caused by that occur in their wind nebulae surrounding baryonic ejecta. In particular, following the bursts-in-bubble model proposed Murase, Kashiyama \& M\'esz\'aros, we analytically numerically calculate spectra light curves such emission. scan parameter space for detectability signals, find a burst with $\sim10^{45}~{\rm erg}$ is detectable Very Large Array or other next-generation facilities. The detection multi-wavelength emission from MGFs and/or FRBs great significance localization revealing progenitors, estimate number events.