AI 中文总结
本文利用 GLSM 的等级限制规则和窗口范畴,建立了 Calabi-Yau 四维翻转的 B 膜中心电荷整基,推导其单值性精确表达式,将单值性解释为 EZ 扭转,并说明该扭转可分解为相关构型族的球形扭转。
AI 中文摘要
我们为某些 Calabi-Yau 四维翻转的 B 膜中心电荷建立了一个整基,并利用相关的规范线性西格玛模型(gauged linear sigma models,GLSM)的等级限制规则和窗口范畴推导了它们单值性的精确表达式。该单值性被解释为与例外曲面收缩到锥奇点曲线相关的 EZ 扭转。我们进一步说明了 EZ 扭转可分解为六次 Calabi-Yau 四维和格拉斯曼流形中完全交的分裂构型族的球形扭转。
英文摘要
We establish an integral basis for the B-brane central charges of certain Calabi-Yau fourfold flops and derive exact expressions for their monodromies using the grade restriction rule and window categories of the associated gauged linear sigma models. The monodromy is interpreted as an EZ twist associated with the contraction of an exceptional surface onto a curve of conifold singularities. We further illustrate a decomposition of the EZ twist into spherical twists for families of splitting configurations of the sixtic Calabi-Yau fourfold and a complete intersection in grassmannian.
Comments35 pages, 1 figure. This is a first draft, we will upload the second version soon