| Speaker: | Timm Wrase (Stanford U) |
|---|---|
| Title: | Moonshine and String Theory |
| Date (JST): | Thu, Aug 07, 2014, 13:15 - 14:45 |
| Place: | Seminar Room A |
| Related File: | 1258.pdf |
| Abstract: | I will start by giving a general introduction to moonshine phenomena which are connections between sporadic groups and modular functions. Then I will discuss how the Mathieu moonshine that was discovered by Eguchi, Ooguri and Tachikawa in 2010 appears in a variety of string theory compactifications. By using string dualities I will show that the Gromov-Witten invariants of certain CY_3 manifolds are connected to representations of the largest Mathieu group M_24. I will then present new moonshine phenomena that are the first examples of explicitly realized modules underlying moonshine phenomena relating mock modular forms to sporadic simple groups. |
