The large level limit of Kazama-Suzuki models

Understand

Limits of families of conformal field theories are of interest in the context of AdS/CFT dualities.

• We explore here the large level limit of the two-dimensional N=(2,2) superconformal W_{n+1} minimal models that appear in the context of the supersymmetric higher-spin AdS3/CFT2 duality.
• These models are constructed as Kazama-Suzuki coset models of the form SU(n+1)/U(n).
• We determine a family of boundary conditions in the limit theories, and use the modular bootstrap to obtain the full bulk spectrum of N=2 super-W_{n+1} primaries in the theory.