Snowmass White Paper: Moonshine

Kavli Affiliate: Jeffrey A. Harvey

| First 5 Authors: Sarah M. Harrison, Jeffrey A. Harvey, Natalie M. Paquette, ,

| Summary:

We present a brief overview of Moonshine with an emphasis on connections to
physics. Moonshine collectively refers to a set of phenomena connecting group
theory, analytic number theory, and vertex operator algebras or conformal field
theories. Modern incarnations of Moonshine arise in various BPS observables in
string theory and, via dualities, invariants in enumerative geometry. We survey
old and new developments, and highlight some of the many open questions that
remain.

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