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math.RT2022
Vertex operators for imaginary subalgebras in the Monster Lie Algebra
Darlayne Addabbo, Lisa Carbone, Elizabeth Jurisich +2
The Monster Lie algebra is a quotient of the physical space of the vertex algebra , where is the Moonshine module vertex ope…
math.RT2022
Strong integrality of inversion subgroups of Kac-Moody groups
Abid Ali, Lisa Carbone, Dongwen Liu +1
Let be a symmetrizable generalized Cartan matrix with corresponding Kac--Moody algebra over . Let be an integrable highest weight -mod…
hep-th2022
Imaginary reflections and discrete symmetries in the heterotic Monster
Lisa Carbone, Natalie M. Paquette
Let be the Monster finite simple group. We give an interpretation of certain discrete symmetries of a family of heterotic string compactifications to dimension…