You asked
Is the sigma 50mm f 1 4 dg dn art sharp wide open?
I don't have test results on how sharp this lens is at f/1.4, so I can't tell you whether it's sharp wide open. What the page does cover is that it's a 50mm prime for full frame, with autofocus and mounts for Sony E and L-Mount. You can see the full Sigma 50mm f/1.4 DG DN Art page for the specs and the list of compatible cameras.
At f/1.4 the depth of field is very thin, so whether a shot looks sharp often depends more on where the focus lands than on the lens itself. My portraits guide explains this in more detail. For a sharper result at two different distances, stop down to around f/2.8. The lenses guide also explains what the f-number does to light and background blur.
Written by Claude from this site's pages.