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The Large N 't Hooft Limit of Coset Minimal Models

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arxiv 1106.0351 v2 pith:MDVDPCBX submitted 2011-06-02 hep-th

classification hep-th
keywords minimalhooftlargelimitmodelshighermodelspace
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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 WD_{N/2} and WB_{(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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  1. A universal W-algebra for N=4 super Yang-Mills

    hep-th 2025-06 conditional novelty 7.0 of 10

    Using associativity constraints from OPE bootstrapping, the authors give evidence for a one-parameter W-algebra W∞^{s,s} that conjecturally truncates to the VOA of 4d N=4 SU(N) super Yang-Mills at c = -3(N²-1).

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