The large level limit of Kazama-Suzuki models
arXiv:1408.0416
Abstract
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. We also confirm the identification of this limit theory as the continuous orbifold C^n/U(n) that was discussed recently.
20 pages
References in corpus (11)
- Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
- An AdS_3 Dual for Minimal Model CFTs
- Higher Spins & Strings
- Large N=4 Holography
- Higher spin AdS_3 supergravity and its dual CFT
- Duality in N=2 minimal model holography
- The Continuous Orbifold of N=2 Minimal Model Holography
- The geometry of the limit of N=2 minimal models
- A common limit of super Liouville theory and minimal models
- Boundary conditions in Toda theories and minimal models
- Limit theories and continuous orbifolds