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Lie Group Quantum Mathematics Seminar

Imaginary reflections and discrete symmetries in the Heterotic Monster

Lisa Carbone, Rutgers University

Location:  zoom
Date & time: Friday, 17 September 2021 at 11:00AM - 12:00PM

Abstract We give an interpretation of certain symmetries of the root system of the monster Lie algebra m, and more generally the infinite family of monstrous Lie algebras m_g, one for each g in the Monster finite simple group M, in terms of discrete symmetries of the heterotic string compactified to 0 + 1 dimensions. We show that a certain discrete symmetry of the monster Lie algebra can be extended to a discrete symmetry of a supersymmetric index Z which counts (with signs) the number of BPS-states. The imaginary reflection permutes two sets of BPS states labeled by imaginary roots up to a minus sign. This is joint work with Natalie Paquette.

Zoom link
Meeting ID: 939 2146 5287
Passcode: 196884, the dimension of the weight 2 homogeneous
subspace of the moonshine module