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Magnetar hyperflares are the most plausible explanation for fast radio bursts(FRB) -- enigmatic powerful radio pulses with durations of several millisecondsand high brightness temperatures. The first observational evidence for thisscenario was obtained in 2020 April when a FRB was detected from the directionof the Galactic magnetar and soft gamma-ray repeater SGR\,1935+2154. The FRBwas preceded by two gamma-ray outburst alerts by the BAT instrument aboard theSwift satellite, which triggered follow-up observations by the High EnergyStereoscopic System (H.E.S.S.). H.E.S.S. has observed SGR\,1935+2154 for 2 hron 2020 April 28. The observations are coincident with X-ray bursts from themagnetar detected by INTEGRAL and Fermi-GBM, thus providing the first very highenergy (VHE) gamma-ray observations of a magnetar in a flaring state.High-quality data acquired during these follow-up observations allow us toperform a search for short-time transients. No significant signal at energies$E>0.6$~TeV is found and upper limits on the persistent and transient emissionare derived. We here present the analysis of these observations and discuss theobtained results and prospects of the H.E.S.S. follow-up program for softgamma-ray repeaters.

Searching for TeV gamma-ray emission from SGR\,1935+2154 during its 2020 X-ray and radio bursting phase