Bootstrapping ADE M-strings

A bstract 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 hel...

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Bibliographic Details
Published in:The journal of high energy physics 2021-02, Vol.2021 (2), p.1-43, Article 57
Main Authors: Duan, Zhihao, Nahmgoong, June
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Conformal Field Models in String Theory
Elementary Particles
Engineers
F-Theory
High energy physics
Modularity
Partitions (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Strings
Symmetry
Topological Strings
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2021)057