Bootstrapping ADE M-strings
High Energy Physics - Theory
2021-02-24 v2
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.
Cite
@article{arxiv.2009.03626,
title = {Bootstrapping ADE M-strings},
author = {Zhihao Duan and June Nahmgoong},
journal= {arXiv preprint arXiv:2009.03626},
year = {2021}
}
Comments
44 pages, 1 figure