AI 中文总结
该研究分析II型与I型弦理论世界面理论的反常与离散挠率，得出目标空间可定向且允许旋结构时反常可消去的结论，明确离散挠率的物理意义及相关弦理论的区分。
AI 中文摘要
我们对十维一般目标空间上II型与I型弦理论的世界面理论中的反常与离散挠率展开了全面研究。在现代认知中，世界面理论的反常由三维可逆场论刻画，而可逆场论由合适配边理论的安德森对偶分类。为研究反常消去条件，我们采用了Yamashita与Yonekura构造的安德森对偶显式模型。我们发现，对II型与I型弦理论而言，当且仅当目标空间可定向且允许旋结构时，世界面理论的反常可被消去。我们还确定了离散挠率并阐明其物理意义，其包含IIA型与IIB型弦理论的区分，以及普通I型与Sugimoto弦理论的区分。
英文摘要
We provide a comprehensive study of anomalies and discrete torsion in the worldsheet theories of Type II and Type I string theories on a general ten-dimensional target space. In the modern understanding, the anomaly of a worldsheet theory is characterized by an invertible field theory in three dimensions, and invertible field theories are classified by the Anderson dual of a suitable bordism theory. To study the anomaly cancellation condition, we employ the explicit model of the Anderson dual constructed by Yamashita and Yonekura. We find that, for both Type II and Type I string theories, the anomaly of the worldsheet theory is cancelled if and only if the target space is orientable and admits a spin structure. We also determine the discrete torsion and clarify its physical meaning. It includes the distinctions between Type IIA and Type IIB string theories and between ordinary Type I and Sugimoto string theories.
Comments27 pages
