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      An AdS_3 Dual for Minimal Model CFTs

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          Abstract

          We propose a duality between the 2d W_N minimal models in the large N 't Hooft limit, and a family of higher spin theories on AdS_3. The 2d CFTs can be described as WZW coset models, and include, for N=2, the usual Virasoro unitary series. The dual bulk theory contains, in addition to the massless higher spin fields, two complex scalars (of equal mass). The mass is directly related to the 't Hooft coupling constant of the dual CFT. We give convincing evidence that the spectra of the two theories match precisely for all values of the 't Hooft coupling. We also show that the RG flows in the 2d CFT agree exactly with the usual AdS/CFT prediction of the gravity theory. Our proposal is in many ways analogous to the Klebanov-Polyakov conjecture for an AdS_4 dual for the singlet sector of large N vector models.

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          Massless fields with integer spin

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            Unitary representations of the Virasoro and super-Virasoro algebras

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              THE MODELS OF TWO-DIMENSIONAL CONFORMAL QUANTUM FIELD THEORY WITH Zn SYMMETRY

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                Author and article information

                Journal
                12 November 2010
                2012-05-08
                Article
                10.1103/PhysRevD.83.066007
                1011.2986
                e0e2fb63-c5fd-4d8b-8b3d-251b26f5083a

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Phys.Rev.D83:066007,2011
                33 pages LaTeX
                hep-th cond-mat.stat-mech gr-qc

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