4 problems

Let $C_{k,n}$ be the simple graded quotient of $C^{k_1,k_2}$ at $(k_1,k_2)=(k,n)$, where $n$ is a positive integer and $k$ is a positive integer or an admissible level for…

Coset modularity conjecture. All cosets $H\subset G_k$ satisfy the conditions of Theorem A.

In a gauged WZW description of coset conformal field theories, let the gauge group be non-simply connected and decompose the theory into sectors of different topological type. Topo…

Let the coset conformal field theories denoted in the source by $\mathrm{(suncos)}$ and $\mathrm{(paracos)}$ be the two cosets appearing in the proposed duality, and let the gauge…