  We present the results of a deep high-contrast imaging search for planets
around Vega. Vega is an ideal target for high-contrast imaging because it is
bright, nearby, and young with a face-on two-belt debris disk which may be
shaped by unseen planets. We obtained $J-$ and $H-$band data on Vega with the
coronagraphic integral-field spectrograph Project 1640 (P1640) at Palomar
Observatory. Two nights of data were obtained in 2016, in poor seeing
conditions, and two additional nights in more favorable conditions in 2017. In
total, we obtained 5.5 hours of integration time on Vega in moderate to good
seeing conditions (<1.5"). We did not detect any low mass companions in this
system. Our data present the most sensitive contrast limits around Vega at very
small separations (2-15 au) thus far, allowing us to place new constraints on
the companions which may be sculpting the Vega system. In addition to new
constraints, as the deepest data obtained with P1640, these observations form
the final legacy of the now decommissioned instrument.
