2011
DOI: 10.1103/physrevd.83.025006
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AdS4/CFT3construction from collective fields

Abstract: We pursue the construction of higher-spin theory in AdS4 from CFT3 of the O(N) vector model in terms of canonical collective fields. In null-plane quantization an exact map is established between the two spaces. The coordinates of the AdS4 space-time are generated from the collective coordinates of the bi-local field. This, in the light-cone gauge, provides an exact one-to-one reconstruction of bulk AdS4 space-time and higher-spin fields.

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Cited by 120 publications
(152 citation statements)
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“…In this section, we describe the non-minimal bosonic higher spin gravity model of Vasiliev type [1], 8 for which we shall present exact solutions in the next section. The model is characterized by the fact that it admits a linearization consisting of real Fronsdal fields in four-dimensional anti-de Sitter spacetime of spins s = 0, 1, 2, .…”
Section: Bosonic Vasiliev Modelmentioning
confidence: 99%
See 2 more Smart Citations
“…In this section, we describe the non-minimal bosonic higher spin gravity model of Vasiliev type [1], 8 for which we shall present exact solutions in the next section. The model is characterized by the fact that it admits a linearization consisting of real Fronsdal fields in four-dimensional anti-de Sitter spacetime of spins s = 0, 1, 2, .…”
Section: Bosonic Vasiliev Modelmentioning
confidence: 99%
“…In a specific gauge, certain linearized perturbations of the noncommutative twistor space structure give rise to Fronsdal fields. This suggests a holographic relationship to three-dimensional conformal field theories [3][4][5]; see also [6][7][8]. In [9,10] this relation was examined under the assumption that the Gubser-Klebanov-Polyakov-Witten (GKPW) prescription [11,12] for on-shell computations of Witten diagrams can be applied to classical field configurations obtained from Vasiliev's equations.…”
Section: Jhep01(2017)043mentioning
confidence: 99%
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“…As emphasized in [17] this represents a bulk description of Higher Spin theory. The emergent AdS space-time can be most clearly identified in the light-cone gauge [18]. We will, in what follows, extend this identification to the covariant case and demonstrate that the bi-local description can be directly associated with the symmetric gauge of Higher Spin theory.…”
Section: Jhep01(2015)055mentioning
confidence: 99%
“…In the case of N -component vector models, this has been demonstrated [18][19][20] in the light-cone gauge [21] (where HS gravity is the simplest). A similar identification of AdS space in light-cone QCD was developed in [22,23].…”
Section: Jhep01(2015)055mentioning
confidence: 99%