弦场代数中点奇异性的新审视
高能物理 - 理论
2008-11-26 v2
摘要
本文从算子/Moyal 形式体系的角度研究开弦代数的中点结构。我们为hep-th/0202087中的连续Moyal积构建了分裂弦描述,研究了星代数中结合性的破坏,并在复平面中识别出星积的无限序列的新(反)交换坐标。我们还解释了开弦非(反)交换参数中的极点如何对应于某些“零”算子,这些算子湮灭顶点,意味着与这类算子成比例的状态倾向于与其他弦场具有消失的星积。我们认为,此类极点的存在对以Moyal积形式定义该理论的良好表述构成了障碍。我们还评论了在Bars等人最近研究中显著出现的有趣但奇异的表示。
引用
@article{arxiv.hep-th/0304044,
title = {A fresh look at midpoint singularities in the algebra of string fields},
author = {Theodore G. Erler},
journal= {arXiv preprint arXiv:hep-th/0304044},
year = {2008}
}
备注
40 pages, 5 figures. Version to be submitted to JHEP. Some interesting and previouusly unpublished results are included here. These include both an interpretation of poles in the open string noncommutativity parameter as corresponding to null operators in the algebra, and an identification of an infinite sequence of new commutative and null coordinates in the complex $\kappa$ plane