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Journal Article

#### The large level limit of Kazama-Suzuki models

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##### Fulltext (public)

1408.0416.pdf

(Preprint), 245KB

JHEP04(2015)015.pdf

(Any fulltext), 407KB

##### Supplementary Material (public)

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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.