Until recently the twistor theory of Roger Penrose on one hand and string theory on another, epitomized by Ed Witten and many others, have been inconsistent. Twistor space uses 3+1 dimensions and is a complex space in additional dimensions with imaginary components, analogous to the complex number structure of quantum theory. String theory has I guess now 10 +1 real dimensions...although that can vary by theory. Twistors give rise to spin networks which have been discussed in other threads here. According the a one line comment from Roger Penrose in a video from another thread here, Ed Witten has sent Penrose a 100 page document placing strings in twistor space...unsure when, sounds like in the last year or so. And apparently some insightful ideas arise....anyone know anything more or have any references for reading??