If you need to do continuous circling around the subjects in one shot, you probably need some sort of overhead lighting, such as a softboxes or a butterfly net overhead with lights shooting into it. One end of the table will have stands, but will still allow you to move just about 360 degrees. You can keep a chinaball near the camera to fill as you move around. (You'd be hard pressed to make it look good using a light that has no diffusion)
Another possibility is, if the background is dark enough you might be able to set your stands behind the talent far away and very high up so it doesn't show up in the shot... but you would obviously need quite powerful lights, and you would also be dealing with lens flares.
Of course, if you are going to intercut, then you can just set up lights normally with enough room to circle halfway before starting the next shot.
In whichever case, make sure to use black wrap and barn doors to keep all unneccesary light from spilling onto the surrounding area. (note: without any lights on the backgrounds at all, your characters and their table will look like they're limbo space, surrounded by black.)