Context :

Aims : To search for runaway stars in the Large Magellanic Cloud ( LMC ) among the bright Hipparcos supergiant stars included in the Gaia DR1 TGAS catalog .

Methods : We compute the space velocities of the visually brightest stars in the Large Magellanic Cloud that are included in the Gaia TGAS proper motion catalog .
This sample of 31 stars contains a Luminous Blue Variable ( LBV ) , emission line stars , blue and yellow supergiants and a SgB [ e ] star .
We combine these results with published radial velocities to derive their space velocities , and by comparing with predictions from stellar dynamical models we obtain their ( peculiar ) velocities relative to their local stellar environment .

Results : Two of the 31 stars have unusually high proper motions .
Of the remaining 29 stars we find that most objects in this sample have velocities that are inconsistent with a runaway nature , being in very good agreement with model predictions of a circularly rotating disk model .
Indeed the excellent fit to the model implies that the TGAS uncertainty estimates are likely overestimated .
The fastest outliers in this subsample contain the LBV R 71 and a few other well known emission line objects though in no case do we derive velocities consistent with fast ( \sim 100 km/s ) runaways .
On the contrary our results imply that R 71 in particular has a moderate deviation from the local stellar velocity field ( 40 km/s ) lending support to the proposition that this object can not have evolved as a normal single star since it lies too far from massive star forming complexes to have arrived at its current position during its lifetime .
Our findings therefore strengthen the case for this LBV being the result of binary evolution .
Of the two stars with unusually high proper motions we find that one , the isolated B1.5 Ia ^ { + } supergiant Sk-67 2 ( HIP 22237 ) , is a candidate hypervelocity star , the TGAS proper motion implying a very large peculiar transverse velocity ( \sim 360 km/s ) directed radially away from the LMC centre .
If confirmed , for example by Gaia Data Release 2 , it would imply that this massive supergiant , on the periphery of the LMC , is leaving the galaxy where it will explode as a supernova .

Conclusions :