I would call that a laser hand cannon. It has quite a unique design, very nice
Those lasers can cause eye damage though, I really hope you aren't planning to use them in a crowd. They could be useful for shining over a crowd like M83 does (video), but you would have to be very careful. M83 is using the Trinary 5mw for those.
Do you have a second glove, or plans to make one for your other hand?
It could be quite cool to put a strip of different diffraction gratings in front of the laser, perhaps broken glass or frosted plastic as well. if you could press a button to scroll it could be a lot like a kaleidoscope.
Also, since you're using black light lasers you might look into getting some uranium duped glass toys. They turn a bright unreal looking green when you shine your blacklight laser on them.