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 \( \mathcal{N}=\left(2,\ 2\right) \) superconformal \( {\mathcal{W}}_{n+1} \) 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 \( \mathcal{N}=2 \) super-\( {\mathcal{W}}_{n+1} \) primaries in the theory. We also confirm the identification of this limit theory as the continuous orbifold \( {\mathbb{C}}^n/\mathrm{U}(n) \) that was discussed recently.
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Fredenhagen, S., Restuccia, C. The large level limit of Kazama-Suzuki models. J. High Energ. Phys. 2015, 15 (2015). https://doi.org/10.1007/JHEP04(2015)015
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DOI: https://doi.org/10.1007/JHEP04(2015)015