Weight one Jacobi forms and umbral moonshine
| Authors |
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| Publication date | 14-02-2018 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Article number | 104002 |
| Volume | Issue number | 51 | 10 |
| Number of pages | 37 |
| Organisations |
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| Abstract | We analyze holomorphic Jacobi forms of weight one with level. One such form plays an important role in umbral moonshine, leading to simplifications of the statements of the umbral moonshine conjectures. We prove that nonzero holomorphic Jacobi forms of weight one do not exist for many combinations of index and level, and use this to establish a characterization of the McKay-Thompson series of umbral moonshine in terms of Rademacher sums. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1088/1751-8121/aaa819
(Final published version)
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