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      Bootstrapping ADE M-strings

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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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          Author and article information

          Journal
          08 September 2020
          Article
          2009.03626

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          KIAS-P20045
          44 pages, 1 figure
          hep-th

          High energy & Particle physics

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