A menagerie of N = 1 SVOAs

Theo Johnson-Freyd (Perimeter/Dalhousie)

06-Oct-2021, 12:00-13:00 (2 years ago)

Abstract: The Conway Moonshine module $V^{f\natural}$ is specific "N=1" supersymmetric vertex operator algebra; its name reflects that its automorphism group is the Conway sporadic group $\mathrm{Co}_1$. It is a supersymmetric analogue of the Monstrous Moonshine module, and a quantum analogue of the Leech lattice. I will tell you about some interesting subalgebras of $V^{f\natural}$, which seem to correspond to some interesting subgroups of $\mathrm{Co}_1$. Some of these subalgebras fit within a theorem about WZW algebras, and others fit within a conjecture about umbral moonshine. Along the way, I will highlight some of the techniques for building and analyzing SVOAs and superconformal field theories.

other condensed matterstatistical mechanicsstrongly correlated electronsgeneral relativity and quantum cosmologyHEP - theorymathematical physicsalgebraic geometrydifferential geometrydynamical systemsgroup theorynumber theoryquantum algebrarepresentation theory

Audience: researchers in the discipline


Number theory, Arithmetic and Algebraic Geometry, and Physics

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Organizer: Abhiram Kidambi*
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