An AdS_3 Dual for Minimal Model CFTs

By M. Gaberdiel, Rajesh Gopakumar. 2010

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We propose a duality between the 2d W{sub N} minimal models in the large N't Hooft limit, and a family of higher spin theories on AdS{sub 3}. The 2d conformal field theories (CFTs) can be described as Wess-Zumino-Witten 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 renormalization group 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{sub 4} dual for the singlet sector of large N vector models.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a402598e4d55eb41ef6bbd0b56a9e957d30bde36

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Citations in the corpus

Triality in minimal model holography (2012, background): “ralisation for all the light states; this will be described in section 4.2. Incidentally, our analysis also implies that the two minimal representations (that play an important role in the duality of [7]) behave rather diﬀerently as we take c → ∞. This suggests that one of – 13 – them should probabl”
Tensionless strings from worldsheet symmetries (2015, background): “ome to the forefront of research in the recent years with the discovery of new higher spin holographic dualities following Klebanov-Polyakov-Sezgin-Sundell [8,9] and more recently Gaberdiel-Gopakumar [10], and subsequent attempts to connect these to string theory (e.g. see [11]). 1.2 Symmetries of t”
Holographic mutual information is monogamous (2011, background): “For example, the WN minimal models have operators with dimension 1/N and are conjectured to be dual to higher spin versions of three dimensional gravity coupled to matter [38].”
Bounding the space of holographic CFTs with chaos (2016, background): “ry can only exist for 2. W N minimal models One family of known, unitary CFTs with large cand W 1[] symmetry is the ‘t Hooft limit, introduced by Gaberdiel and Gopakumar, of the W N minimal models [94,95] . The limit CFTs have W 1[] symmetry with 0 1. As this is a large Nlimit of a soluble CFT, it i”
Higher spin black holes (2011, background): “The large N limit is of particular interest given that the explicit duality proposal in [17] involves large N. Similarly, the bulk field content arising in [ 17 ] involves massive scalar fields, and it would be interesting to see how they interact with the black holes.”
Black holes and singularity resolution in higher spin gravity (2011, background): “This has led to a conjectured set of dualities between specific higher spin theories of the sort discussed in this paper and certain higher spin minimal models [6].”
Jerusalem Lectures on Black Holes and Quantum Information (2014, background): “Also note that I have intentionally excluded theories with higher-spin symmetry in the bulk; although these exist [95] and sometimes have simple gravity duals [96–98], they are sufficiently opaque that it is unclear to what extent they are good models for conventional gravity.”
Chern–Simons theory with vector fermion matter (2011, background): “(3)It has been conjectured recently [14] that the appropriate two dimensional analogs of large N vector models are WN minimal models.”
Partition functions of holographic minimal models (2011, methodology): “ and U ≡ W(4) so that their eigenvalues h= L0, w= W0 and u= U0 on the ground states are φ1 ≡ (f;0) : h1 = 1 2 (1+λ) , w1 = −(1+λ)(2+λ), u1 = (1+λ)(2+λ)(3+λ), (5.8) 6The same example was considered in [19], where it was suggested that the appearance of a new null vector in the large N limit could lea”
Asymptotically flat spacetimes in three-dimensional higher spin gravity (2013, background): “[5] M.”
Tensionless strings and Galilean Conformal Algebra (2013, background): “These are dualities which link Vasilev theory in AdS4 to the O(N) vector model in 3d [20, 21] and Vasiliev theory on AdS3 to the large N limit of WN minimal models in 2d [22].”
Minimal model holography (2012, background): “[57], being in some cases even integrable deformations.”
AdS description of induced higher-spin gauge theory (2013, background): “Similarly, we may consider higher-spin theories in AdS3 [58–60] whose dual d = 2 CFTs have W symmetries [61–66].”
Conical defects in higher spin theories (2011, methodology): “ities(2) in the SL(N,R)× SL(N,R) Chern-Simons formulation of higher spin gauge theories in AdS3, and their role in the duality of [1].”
Higher spins & strings (2014, methodology): “-like AdS4/CFT3 dualities (with SUSY and also Chern-Simons interactions [14, 15]) within the ABJ duality for string theory [16]. In this paper, we will consider the AdS3/CFT2 vector-like dualities of [17] (see [18] for a review) in their maximally SUSY incarnation [19] (see also [20] for earlier wor”