Maximal Total Quantum Dimension at Bounded Rank in WZW Modular Tensor Categories
The study investigates how maximal torus topological entanglement entropy scales as the categorical rank of a WZW theory grows. The goal was to find an asymptotic limit for this entropy when restricted to phases with bounded ground-state degeneracy. The result shows this limit is $7 ext{ζ}(3)/(4 ext{π}^2)$, which is achieved by balanced symplectic sequences, providing a sharp lower bound for the unrestricted problem.