Super Landau Model and Howe Duality: From Supermonopole Harmonics to Quantum Matrix Geometry
This work investigates super Landau models on a supersphere to find their underlying algebraic structure, identifying Howe duality as fundamental. It constructs supermonopole harmonics using specific operators and derives matrix coordinates for fuzzy supersphere geometries across different Landau levels. This reveals how Howe duality acts as an internal-external space duality, connecting different geometric objects in quantum matrix models.