On the Non-commutativity of Closed String Zero Modes

Understand

We explore several consequences of the recently discovered intrinsic non-commutativity of the zero-mode sector of closed string theory.

• In particular, we illuminate the relation between T-duality and this intrinsic non-commutativity and also note that there is a simple closed string product, equivalent to the splitting-joining interaction of the pants diagram, that respects this non-commutativity and is covariant with respect to T-duality.
• We emphasize the central role played by the symplectic form $\omega$ on the space of zero modes.
• Furthermore, we begin an exploration of new non-commutative string backgrounds.