the split-brain resulting in two consciousnesses is a myth:
http://www.brain-mind-institute.org/ICBM-2012/proceedings-html/full paper/paper 16.pdf
or as Nagel once described it, cutting a pair of hand cuffs in two does not result in two sets of restraining devices.
This is actually quite interesting. Thank you.
The source of the claim was a video posted earlier in the thread - I believe it was by PixyMisa, though I'm not certain of that - which went over the issues experienced by a man who had undergone surgery to deliberately sever the connections between the left and right hemispheres of his brain.
Specifically, he couldn't consciously register images presented to one eye - I forget if it was the right or the left - but, if a pen was left in the hand corresponding to that hemisphere's control, he was capable of drawing the image. Again, this apparently happened without conscious knowledge or decision on his part.
This leads to a number of neurologists, Koch and Tononi included, to conclude that a single instance of consciousness can be split into multiple (albeit reduced) instances through similar procedures. Like integrated information theory itself, this is not yet one hundred percent confirmed, but it seems to fit the evidence in hand. You can read one of Koch's lectures on the subject
here.
Meanwhile, the paper linked in your post is written by Gonzalo Munevar, who is not a neuroscientist. His doctorate is in philosophy, not biology or any other relevant field. Even
his staff page at Lawrence Technological openly admits that his involvement in the field is limited to "Research Interest". This doesn't
necessarily mean that he's wrong, but it does mean that we should not necessarily take his word over that of trained, leading neuroscientists like Koch and Tononi.
In addition to this, Munevar's objections are not a definitive rebuttal. He says only that there are other explanations for "alien hand syndrome", which is true enough, but he acts as though the presence of alien hand syndrome is the only evidence which Koch and Tononi take into account. In reality, Koch and Tononi are operating both from evidence collected by previous researchers, including Nobel Prize winner Roger Sperry, and their system of consciousness put forth in integrated information theory. This is the behavior that integrated information theory predicts.
So. One hundred percent conclusive? Not necessarily. But it is certainly possible and fits all the evidence in hand according to several leading figures in the field of neuroscience.