Categorical aspects of monodromies of Calabi-Yau 3-fold flops
演讲者
时间
2025年07月23日 17:00 至 18:30
地点
A12-114
线上
Zoom 388 528 9728
(BIMSA)
摘要
The monodromies of B-brane central charges of a CY3 $X$ on its stringy Kahler moduli space $M_K(X)$ can be understood as the auto-equivalences of the derived category of coherent sheaves, $B$, on $X$. When $X$ is realized as the target of a geometric phase of a 2d (2,2) GLSM, the grade restriction rule from hemisphere partition function, and hence the window category it defines, computes such monodromy action as window shift monodromy $M(B)$. We elaborated the application of the abelian grade restriction rule in the Herbst, Hori, Pages paper on a large class of X in the type I flop CICY configurations, and concluded that $M(B)=TP_ N(B(-P))$ with $TP_N$ a simple action of $N$ contracted curves under the flop. It’s proposed that $M(B)$ should depend on the $\pi_1(M_K(X))$ and can be given by the braided action of the spherical twists of $O_X$ and others. This is discussed on some examples. Based on a joint work with Mauricio Romo.
演讲者介绍
江浙人士，曾负笈于宁波，北京，海德堡。弦论fan，半吊子篮球爱好者。