Abstract
Recently a duality between a family of \( \mathcal{N}=2 \) supersymmetric higher spin theories on AdS3, and the ’t Hooft like limit of a class of Kazama-Suzuki models (that are parametrised by N and k) was proposed. The higher spin theories can be described by a Chern-Simons theory based on the infinite-dimensional Lie algebra shs[μ], and under the duality, μ is to be identified with \( \lambda =\frac{N}{N+k+1 } \). Here we elucidate the structure of the (quantum) asymptotic symmetry algebra for arbitrary μ and central charge c. In particular, we show that for each value of the central charge, there are generically four different values of μ that describe the same algebra. Among other things this proves that the quantum symmetries on both sides of the duality agree; this equivalence does not just hold in the ’t Hooft limit, but even at finite N and k.
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ArXiv ePrint: 1207.6646
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Candu, C., Gaberdiel, M.R. Duality in \( \mathcal{N}=2 \) minimal model holography. J. High Energ. Phys. 2013, 70 (2013). https://doi.org/10.1007/JHEP02(2013)070
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DOI: https://doi.org/10.1007/JHEP02(2013)070