论文标题
扭曲的椭圆属
Twisted Elliptic Genera
论文作者
论文摘要
我们研究了与BPS字符串相关的2d $（0,4）$ scfts的扭曲椭圆属中的扭曲圆圈紧凑型的6D级别$（1,0）$ scfts。当6D量规代数允许外部自动形态时，可能会出现此类对象，因此通过扭曲的仿射谎言代数进行了分类。我们研究了扭曲的椭圆属的几个有趣方面，包括2D定位，扭曲的椭圆爆炸方程，希格斯琴和光谱流对称性。我们根据弦数的数量得出一个递归公式，以精确计算扭曲的椭圆属。我们还研究了扭曲的一弦椭圆属的模块化引导程序，并找到一致性子组的模块化$γ_1（n）$自然而然地出现，可能$ n = 2,3,4 $。从几何学上讲，我们的研究解决了基础属的纤维纤维含量三倍三倍的基础属的BPS分区，并以$ n $ sector为单位。
We study the twisted elliptic genera of 2d $(0,4)$ SCFTs associated with the BPS strings in the twisted circle compactification of 6d rank-one $(1,0)$ SCFTs. Such objects can arise when the 6d gauge algebra allows outer automorphism, thus are classified by twisted affine Lie algebras. We study several fascinating aspects of the twisted elliptic genera including 2d localization, twisted elliptic blowup equations, Higgsing and spectral flow symmetry. We derive a recursion formula with respect to the number of strings to exactly compute the twisted elliptic genera. We also investigate the modular bootstrap of twisted one-string elliptic genera and find the modularity of congruence subgroups $Γ_1(N)$ naturally appears with possible $N=2,3,4$. Geometrically, our study solves the refined BPS partition of the underlying genus-one fibered Calabi-Yau threefolds with $N$-section.
