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On Mathieu moonshine and Gromov-Witten invariants
oleh: Andreas Banlaki, Abhishek Chowdhury, Abhiram Kidambi, Maria Schimpf
Format: | Article |
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Diterbitkan: | SpringerOpen 2020-02-01 |
Deskripsi
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.