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The large level limit of Kazama-Suzuki models

2014/08/02 by Stefan Fredenhagen, Fredenhagen, Stefan, Cosimo Restuccia +1 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.1408.0416

20 pages

arxiv created 2014/08/02 · openalex publication_date 2014/08/02 · arxiv updated 2014/08/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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 Wn+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-Wn+1 primaries in the theory. We also confirm the identification of this limit theory as the continuous orbifold Cn/U(n) that was discussed recently.

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