#### Ayumi

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outdated, and the author may already know the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. ^^

~Ayu

--

Ayumi

------------------------------------------------------------------------

Ayumi's Profile: https://www.physicsforums.com/forums/member.php?action=getinfo&userid=35380 [Broken]

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outdated, and the author may already know the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. ^^

~Ayu

--

Ayumi

------------------------------------------------------------------------

Ayumi's Profile: https://www.physicsforums.com/forums/member.php?action=getinfo&userid=35380 [Broken]

View this thread: https://www.physicsforums.com/showthread.php?t=85399

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