A menagerie of N = 1 SVOAs
Theo Johnson-Freyd (Perimeter/Dalhousie)
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
Series comments: Zoom link for a seminar will be posted here a few days before each seminar.
Organizer: | Abhiram Kidambi* |
*contact for this listing |