# Twistor Matrix Theory?

1. Aug 16, 2005

### Ayumi

Hello

I am a math student that has come across Witten's relatively new Twistor String Theory. I found the discussions of Twistor projective space very stimulating, as it seems these are extensions of complex projective space, e.g., CP^3. There are various constructions of such projective spaces, including the matrix representation as primitive idempotent operators. In the case of CP^3, for instance, points can be obtained as 4x4 complex primitive idempotents (projections onto one-dimensional subspaces).

Now I was wondering, since CP^3 is a Twistor projective space, which can be given a matrix representation, does there exist a corresponding Twistor Matrix Theory? If so, where can I learn more?

Any help and corrections are appreciated. ^^

~Ayu