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arXiv 0811.1638hep-th
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弦和B场背景的扭曲量子化

Twist Quantization of String and B Field Background

Tsuguhiko Asakawa, Masashi Mori, Satoshi Watamura

摘要:

在前一篇文章中,我们研究了弦论中的Hopf代数结构,并给出了弦的量子化和时空对称性的统一表述。本文将此公式应用于非零B场背景的情况,并研究了庞加莱对称性的扭曲。伴随着B场背景的德林费尔德扭曲给出了另一种量子化方案,这需要一个新的正常排序。为了获得这种扭曲的Hopf代数结构的物理解释,我们提出了一种方法来分解成两个连续的扭曲,我们给出了两种不同的分解可能性。第一种是从扭曲量子化的角度进行自然分解,得到一种新的扭曲庞加莱对称性。第二次分解揭示了我们的公式与Moyal型非对易空间上的扭曲Poincare对称性的关系。

英文摘要:

In a previous paper, we investigated the Hopf algebra structure in string theory and gave a unified formulation of the quantization of the string and the space-time symmetry. In this paper, this formulation is applied to the case with a nonzero B-field background, and the twist of the Poincare symmetry is studied. The Drinfeld twist accompanied by the B-field background gives an alternative quantization scheme, which requires a new normal ordering. In order to obtain a physical interpretation of this twisted Hopf algebra structure, we propose a method to decompose the twist into two successive twists and we give two different possibilities of decomposition. The first is a natural decomposition from the viewpoint of the twist quantization, leading to a new type of twisted Poincare symmetry. The second decomposition reveals the relation of our formulation to the twisted Poincare symmetry on the Moyal type noncommutative space.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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