Exceptional Lie and Finite Groups in Vertex Operator Algebras

Michael Tuite (University of Galway)

Wednesday 28th April, 2010 16:00-17:00 Mathematics Building, room 204


A Vertex Operator Algebra (VOA) is a pure mathematical structure essentially equivalent to a chiral conformal field theory in theoretical physics. In this talk I consider a family of exceptional VOAs satisfying certain constraints related to the Virasoro structure of the VOA which have interesting automorphism groups. Examples include the Wess-Zumino-Witten model for Deligne's exceptional Lie algebras $\frak{g}=A_1,A_2,G_2,D_4,F_4,E_6,E_6,E_8$ and the Moonshine Module whose automorphism group is the Monster finite simple group.

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