论文标题
$ b $ -BRANES上的量规字段,超过$ \ Mathbb {cp}^n $
Gauge fields on $B$-branes over $\mathbb{CP}^n$
论文作者
论文摘要
考虑到复杂的投影空间上的$ b $ branes $ {\ mathbb p}^n $作为有限的派生类别的对象$ d^b({\ sathbb p}^n)$,我们证明了给定的$ b $ brane $ n e $ brane $ rublan $ rubly purtage of the $ brane $ runter的基础; 1 $。此外,红衣主教为$ 1 $如果$ {\ mathscr g}^p $是$ {\ Mathscr o} _ {{\ Mathbb p}^n} $的直接副本的同构。
Considering the $B$-branes over the complex projective space ${\mathbb P}^n$ as the objects of the bounded derived category $D^b({\mathbb P}^n)$, we prove that the cardinal of the set of holomorphic gauge fields on a given $B$-brane ${\mathscr G}^{\bullet}$ is $\leq 1$. Moreover, the cardinal is $1$ iff each ${\mathscr G}^p$ is isomorphic to a direct sum of copies of ${\mathscr O}_{{\mathbb P}^n}$.