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Title:
Generalised Mathieu Moonshine

Speaker:
Roberto Volpato

Abstract:
The Mathieu Moonshine is a conjectural relation between a finite simple sporadic group, the Mathieu group M24, and the elliptic genus of K3, a topological invariant of K3 surfaces that can be naturally defined within the framework of two dimensional (super)conformal field theories. Since the original observation by Eguchi, Ooguri and Tachikawa (EOT) in 2010, a lot of non-trivial evidence has been compiled in favour of this conjecture; its interpretation, however, is still an open problem. After describing the original (EOT) relationship, we discuss a large generalisation of the Mathieu Moonshine, which strongly suggests the existence of a vertex operator algebra underlying this phenomenon.Related Papers:

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=403

Workshop:
Simons- General Visit 2012-2013