交织算子代数雅可比恒等式的 $S_3$-对称性
量子代数
2015-08-03 v2 高能物理 - 理论
摘要
我们证明了交织算子代数雅可比恒等式的一个 -对称性。由于该雅可比恒等式涉及满足亏格为零的 Moore-Seiberg 方程的辫化和融合同构，我们的证明不仅使用了交织算子的基本性质，还利用了辫化和融合同构的性质以及亏格为零的 Moore-Seiberg 方程。我们的证明在很大程度上依赖于多变量多值解析函数理论，特别是解析延拓理论。
引用
@article{arxiv.1507.05159,
title = {An $S_3$-symmetry of the Jacobi Identity for Intertwining Operator Algebras},
author = {Ling Chen},
journal= {arXiv preprint arXiv:1507.05159},
year = {2015}
}
备注
37 pages, 2 figures. Several typos, including one in the key words, are corrected. Everything else is the same. The definition of intertwining operator algebras and the Jacobi identity in this paper are from arXiv:q-alg/9704008 by different author and arXiv:1503.06428. This definition and the statement of the Jacobi identity are long. They are the main text overlap with these two papers