On Mathieu moonshine and Gromov-Witten invariants

On Mathieu moonshine and Gromov-Witten invariants

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 hetero...

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Bibliographic Details
Main Authors: Andreas Banlaki, Abhishek Chowdhury, Abhiram Kidambi, Maria Schimpf
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Journal of High Energy Physics
Subjects:
String Duality
Superstrings and Heterotic Strings
Differential and Algebraic Geometry
Discrete Symmetries
Online Access:https://doi.org/10.1007/JHEP02(2020)082
Description
Summary: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.
ISSN:1029-8479

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