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We present deep Hubble Space Telescope observations of a new magnetar source,the soft gamma-repeater SGR 1935+2154, discovered by Swift. We obtained threeepochs of observations: while the source was active in March 2015, during aquiescent period in August 2015, and during a further active phase in May 2016.Close to the center of the X-ray error region identified by Chandra we find afaint (F140W(AB)=25.3) source, which fades by a factor of ~2 over the course of5 months between the first two epochs of observations, before rebrighteningduring the second active period. If this source is indeed the counterpart toSGR 1935+2154 then it is amongst the faintest yet located for a magnetar. Ourobservations are spaced over 1.3 years and enable us to place limits on thesource velocity of $\mu = (60 \pm 40)$ km s$^{-1}$ kpc$^{-1}$; observations ontimescales of a decade can hence probe proper motion limits smaller than thevelocities observed for the majority of pulsars. The comparison of theoptical/IR and X-ray lightcurves of the source suggests that emission in thetwo regimes is associated but not directly correlated, offering support for amagnetospheric versus a fallback disc origin.

Identification of the infrared counterpart of SGR 1935+2154 with the Hubble Space Telescope