Some simple extensions of Mathieu Moonshine


Kachru, S. (2013). Some simple extensions of Mathieu Moonshine. Perimeter Institute. https://pirsa.org/13100112


Kachru, Shamit. Some simple extensions of Mathieu Moonshine. Perimeter Institute, Oct. 21, 2013, https://pirsa.org/13100112


          @misc{ pirsa_PIRSA:13100112,
            doi = {10.48660/13100112},
            url = {https://pirsa.org/13100112},
            author = {Kachru, Shamit},
            keywords = {},
            language = {en},
            title = {Some simple extensions of Mathieu Moonshine},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {oct},
            note = {PIRSA:13100112 see, \url{https://pirsa.org}}

Shamit Kachru Stanford University


Mathieu Moonshine is a striking and unexpected relationship between the sporadic simple finite group M24 and a special Jacobi form, the elliptic genus, which arises naturally in studies of nonlinear sigma models with K3 target.  In this talk, we first discuss its predecessor (Monstrous Moonshine), then discuss the current evidence in favor of Mathieu Moonshine.  We also discuss extensions of this story involving `second quantized mirror symmetry,' relating heterotic strings on K3 to type II strings on Calabi-Yau threefolds.