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arXiv · 2009.03626

Bootstrapping ADE M-strings

Zhihao Duan·June Nahmgoong
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Abstract

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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Zhihao Duan, June Nahmgoong. 2020-09-08. Bootstrapping ADE M-strings. https://doi.org/10.1007/jhep02(2021)057

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