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We report on the detection of a small overdensity of stars in velocity spacewith systematically higher Galactocentric rotation velocity than the Sun byabout 20 km s$^{-1}$ in the $Gaia$ Data Release 1 Tycho-Gaia astrometricsolution (TGAS) data. We find these fast Galactic rotators more clearly outsideof the Solar radius, compared to inside of the Solar radius. In addition, thevelocity of the fast Galactic rotators is independent of the Galactocentricdistance up to $R-R_{\odot}\sim0.6$ kpc. Comparing with numerical models, wequalitatively discuss that a possible cause of this feature is the co-rotationresonance of the Perseus spiral arm, where the stars in peri-centre phase inthe trailing side of the Perseus spiral arm experience an extended period ofacceleration owing to the torque from the Perseus arm.

Stars with fast Galactic rotation observed in Gaia TGAS: a signature driven by the Perseus arm?