On Mathieu moonshine and Gromov-Witten invariants

Journal of High Energy Physics

Abhishek Chowdhury¹  Maria Schimpf¹  Abhiram Kidambi¹  Andreas Banlaki¹ 

[1] Institut für Theoretische Physik, TU Wien, Wiedner Hauptstraße 8-10;

关键词: String Duality;    Superstrings and Heterotic Strings;    Differential and Algebraic Geometry;    Discrete Symmetries;   

DOI  :  10.1007/JHEP02(2020)082

来源: DOAJ

【 摘 要 】

Abstract We provide further evidence that CY 3 manifolds are involved in an intricate way in Mathieu moonshine, i.e., their Gromov-Witten invariants are related to the expansion coefficients of the twined/twisted-twined elliptic genera of K3. We use the string duality between CHL orbifolds of heterotic string theory on K3 × T 2 and type IIA string theory on CY 3 manifolds to explicitly show this connection. We then work out two concrete examples where we exactly match the expansion coefficients on both sides of the duality.

【 授权许可】

Unknown