ADE 纤维化 Calabi-Yau 三维流形的非交换解
代数几何
2019-12-09 v3 高能物理 - 理论
数学物理
math.MP
摘要
在本文中，我们构造了一类 Calabi-Yau 三维流形的非交换解，这类流形由 F. Cachazo、S. Katz 和 C. Vafa 研究。考虑的三维流形是纤维化在复平面上的，其纤维为变形的克莱因奇点。构造基于 V. Ginzburg 引入的一个非交换代数，我们称之为"N=1 ADE 箭图代数"。
引用
@article{arxiv.0806.3177,
title = {Noncommutative resolutions of ADE fibered Calabi-Yau threefolds},
author = {Alexander Quintero Velez and Alex Boer},
journal= {arXiv preprint arXiv:0806.3177},
year = {2019}
}
备注
20 pages; v3: published version -all preliminary material has been removed; Subsect. 3.1 has been rewritten and expanded and it is now presented as Sect. 1 in an attempt to translate many of the undefined terms in the physics literature in a precise way