Generalized Level-Rank Duality and Non-Invertible Anyon Condensation in CFT
Analysis
Key Takeaways
- •Explores connections between holomorphic CFT and dualities in 3D TQFTs.
- •Proposes a mechanism for generating dualities via anyon condensation on topological interfaces.
- •Identifies new dualities, including those involving non-abelian anyons and non-invertible symmetries.
- •Generalizes findings beyond c=24, providing examples like Spin(n^2)_2 duality.
- •Deduces the existence of holomorphic CFTs with Spin(k)_2 fusion category symmetry.
“The paper discovers novel sporadic dualities, some of which involve condensation of anyons with non-abelian statistics, i.e. gauging non-invertible one-form global symmetries.”