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The large level limit of Kazama-Suzuki models

MPS-Authors
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Fredenhagen,  Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Restuccia,  Cosimo
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1408.0416.pdf
(Preprint), 245KB

JHEP04(2015)015.pdf
(Any fulltext), 407KB

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Citation

Fredenhagen, S., & Restuccia, C. (2015). The large level limit of Kazama-Suzuki models. Journal of high energy physics: JHEP, 2015(04): 015. doi:10.1007/JHEP04(2015)015.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0023-CCDA-5
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.