CFT$_2$的S变换作为从闭弦到开弦 sector 线性空间的线性映射
高能物理 - 理论
2022-08-31 v2 统计力学
数学物理
math.MP
摘要
我们首次尝试将二维共形场论（CFT）的S变换定义为从闭 sector 到开 sector 线性空间的线性映射。该定义基于闭-开 sector 线性空间同构与边界条件完备性。对角有理共形场论（RCFT）可直接应用于我们的定义，且预期有更多类的CFT适用。一种非常规的开 sector 缝合（不属于 Lewellen 引入的开 sector 缝合）自然出现并推广了该定义。我们受弦场论部分启发的几何方法揭示了CFT中代数信息与曲面曲率之间的关系。
引用
@article{arxiv.2207.08480,
title = {S-transformations for CFT$_2$ as linear mappings from closed to open sector linear spaces},
author = {Xun Liu},
journal= {arXiv preprint arXiv:2207.08480},
year = {2022}
}
备注
Errors in the method to determine the S-transformation coefficients, because the characters for the surfaces are not simply the product of characters for cylinders. Errors in the linear spaces assigned to surfaces in string vertices regions.More concrete definition for open sector linear spaces also required