Abstract
Recently, Gaberdiel and Gopakumar proposed that the two-dimensional WA N−1 minimal model conformal field theory in the large N ’t Hooft limit is dual to the higher spin theories on the three-dimensional AdS space with two complex scalars. In this paper, we examine this proposal for the \( W{D_{\frac{N}{2}}} \) and \( W{B_{\frac{{N - 1}}{2}}} \) minimal models initiated by Fateev and Lukyanov in 1988. By analyzing the renormalization group flows on these models, we find that the gravity duals in AdS space are higher spin theories coupled to two equally massive real scalar fields. We also describe the large N ’t Hooft limit for the minimal model of the second parafermion theory.
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ArXiv ePrint: 1106.0351
On leave from the Department of Physics, Kyungpook National University, Taegu 702-701, Korea and address until Aug. 31, 2011: Department of Physics, Princeton University, Jadwin Hall, Princeton, NJ 08544, U.S.A. (Changhyun Ahn)
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Ahn, C. The large N ’t Hooft limit of coset minimal models. J. High Energ. Phys. 2011, 125 (2011). https://doi.org/10.1007/JHEP10(2011)125
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DOI: https://doi.org/10.1007/JHEP10(2011)125