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Twistor Matrix Theory?
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Joined: 27 Jan 2006
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PostPosted: Fri Jan 27, 2006 9:02 pm    Post subject: Twistor Matrix Theory? Reply with quote

Hello [Moderator's note: This message may be a bit
outdated, and the author may already know the
answers. LM]

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. ^^


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