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We present the first spatially resolved map of stellar proper motions withinthe central ($\sim$3.1 $\times$ 2.4 kpc) regions of the Small Magellanic Cloud(SMC). The data used for this study encompasses four tiles from the ongoingnear-infrared VISTA survey of the Magellanic Clouds system and covers a totalcontiguous area on the sky of $\sim$6.81 deg$^2$. Proper motions have beencalculated independently in two dimensions from the spatial offsets in the$K_s$ filter over time baselines between 22 and 27 months. The reflex motionsof $\sim$33~000 background galaxies are used to calibrate the stellar motionsto an absolute scale. The resulting catalog is composed of more than 690 000stars which have been selected based on their position in the $(J-K_s, K_s)$color-magnitude diagram. For the median absolute proper motion of the SMC, wefind ($\mu_{\alpha}\mathrm{cos}(\delta)$, $\mu_{\delta}$) = (1.087 $\pm$ 0.192(sys.) $\pm$ 0.003 (stat.), $-$1.187 $\pm$ 0.008 (sys.) $\pm$ 0.003 (stat.))mas yr$^{-1}$, consistent with previous studies. Mapping the proper motions asa function of position within the SMC reveals a non uniform velocity patternindicative of a tidal feature behind the main body of the SMC and a flow ofstars in the South-East moving predominantly along the line-of-sight.

The VMC survey XXX. Stellar proper motions in the central parts of the Small Magellanic Cloud