Twisted Poisson Structures and Non-commutative/non-associative Closed String Geometry
Twisted Poisson Structures and Non-commutative/non-associative Closed String Geometry
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扭曲泊松结构和非交换/非结合闭弦几何
DOI：
10.22323/1.155.0086
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
Dieter Lust
中科院分区：
文献类型：
--
作者：
Dieter Lust
在本文中，我们讨论了在非几何闭弦背景下出现的非对易几何和非结合几何。对于这类非几何弦背景，T-对偶和双场理论在制定相应的有效作用方面起着重要作用。正如我们将讨论的，闭弦(对偶)坐标和(对偶)动量的新出现的非对易和非结合代数可以用扭曲的泊松结构来数学描述，这与点粒子在磁单极子场中运动的相空间是封闭的。
In this paper we discuss non-commutative and non-associative geometries that emerge in the context of non-geometric closed string backgrounds. T-duality and doubled field theory plays an important role in formulating the corresponding effective action for these kind of non-geometric string backgrounds. As we will argue, the emerging non-commutative and non-associative algebras for the closed string (dual) coordinates and (dual) momenta can be mathematically described by a twisted Poisson structure, in closed analogy to the phase space of a point particle moving in the field of a magnetic monopole.
T-对偶性和闭弦非交换（双）几何
影响因子：
5.4
作者：
D. Lüst
通讯作者：
D. Lüst