Generalised Mathieu Moonshine
| Autor: | Gaberdiel, Matthias R., Persson, Daniel, Ronellenfitsch, Henrik, Volpato, Roberto |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Commun.Num.Theor.Phys. 7 (2013), 145-223 |
| Druh dokumentu: | Working Paper |
| Popis: | The Mathieu twisted twining genera, i.e. the analogues of Norton's generalised Moonshine functions, are constructed for the elliptic genus of K3. It is shown that they satisfy the expected consistency conditions, and that their behaviour under modular transformations is controlled by a 3-cocycle in H^3(M_24,U(1)), just as for the case of holomorphic orbifolds. This suggests that a holomorphic VOA may be underlying Mathieu Moonshine. Comment: 71 pages; (v2) ancillary files correctly included; (v3) (final version), minor improvements, completed proof in sec. 3.3, tables added, references added |
| Databáze: | arXiv |
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