论文标题

引导Ade m-string

Bootstrapping ADE M-strings

论文作者

Duan, Zhihao, Nahmgoong, June

论文摘要

我们从模块化中研究了6D(2,0)scfts中ADE型M系的椭圆属,并探索与拓扑弦分区函数的关系。我们发现椭圆属应遵循的新型运动学约束,它决定了椭圆属的低基数,并帮助我们猜想了与相关几何相关几何的精制gopakumar-vafa不变性的消失结合。使用此功能,我们可以将椭圆形属引导到任意基础程度,包括仅部分已知的显式公式的D/E型理论。我们利用结果来获得(2,0)理论的6D CARDY公式和超符号指数。

We study elliptic genera of ADE-type M-strings in 6d (2,0) SCFTs from their modularity and explore the relation to topological string partition functions. We find a novel kinematical constraint that elliptic genera should follow, which determines elliptic genera at low base degrees and helps us to conjecture a vanishing bound for the refined Gopakumar-Vafa invariants of related geometries. Using this, we can bootstrap the elliptic genera to arbitrary base degree, including D/E-type theories for which explicit formulas are only partially known. We utilize our results to obtain the 6d Cardy formulas and the superconformal indices for (2,0) theories.

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