You're thinking dissociative identity disorder (formerly multiple personality disorder). Might not seem like the right forum to make that distinction but as a psychotherapist I just can't not correct this common misconception. Sorry. :)
Basically, that is exactly what it should mean, but with DL you never know if that would be accepted, so it would be risky to go as far as say something so different from the literal meaning. I went with 'an other' and it was accepted.