非几何背景下二重弦的非对易性和非结合性
Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds
摘要：
我们使用一个T-对偶不变的行动调查的非几何背景下，有一个非平凡的全球$O(D,D)$修补或monodromy字符串的行为。这个作用导致了一组描述双弦动力学的狄拉克括号，这些括号只由单值性决定。这允许在（甚至局部）非几何的背景中简单地导出非交换性和非结合性。我们在这里集中的例子的三个环面与H-通量，发现非交换性，但不是非结合性，也评论的关系，异国情调的$5^2_2$膜，其中共享相同的monodromy。
英文摘要：
We use a T-duality invariant action to investigate the behaviour of a string in non-geometric backgrounds, where there is a non-trivial global $O(D,D)$ patching or monodromy. This action leads to a set of Dirac brackets describing the dynamics of the doubled string, with these brackets determined only by the monodromy. This allows for a simple derivation of non-commutativity and non-associativity in backgrounds which are (even locally) non-geometric. We focus here on the example of the three-torus with H-flux, finding non-commutativity but not non-associativity, and also comment on the relation to the exotic $5^2_2$ brane, which shares the same monodromy.
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