Noncommutativity of closed string zero modes

作者：Freidel Laurent^*; Leigh Robert G^*; Minic Djordje^*

来源：PHYSICAL REVIEW D, 2017, 96(6): 066003.

DOI：10.1103/PhysRevD.96.066003

We explore several consequences of the recently discovered intrinsic noncommutativity of the zero-mode sector of closed string theory. In particular, we illuminate the relation between T-duality and this intrinsic noncommutativity and also note that there is a simple closed string product, equivalent to the splitting-joining interaction of the pants diagram, that respects this noncommutativity and is covariant with respect to T-duality. We emphasize the central role played by the symplectic form. on the space of zero modes. Furthermore, we begin an exploration of new noncommutative string backgrounds. In particular, we show that a constant nongeometric background field leads to a noncommutative space-time. We also comment on the nonassociativity that consequently arises in the presence of nontrivial flux. In this formulation, the H flux as well as the "nongeometric" Q, R, and F fluxes are simply the various components of the flux of an almost symplectic form.

• 出版日期2017-9-5
• 单位美国弗吉尼亚理工大学(Virginia Tech)