# Seminars & Colloquia Calendar

## 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.

Meeting ID: 939 2146 5287

Passcode: 196884, the dimension of the weight 2 homogeneous

subspace of the moonshine module

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Yanyan Li, Zheng-Chao Han, Jian Song, Natasa Sesum Organizer's Webpage

Organizer: Luochen Zhao

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Stephen D. Miller, John C. Miller, Alex V. Kontorovich, Alex Walker seminar website

Stephen D. Miller

Brooke Ogrodnik, Website

Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum

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Organizer's webpage: Organizer's webpage

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