AdS dual of the critical O(N) vector model

By I. Klebanov, A. Polyakov. 2002

1,135 citations recorded by the source corpus.

Abstract We suggest a general relation between theories of infinite number of higher-spin massless gauge fields in AdS d +1 and large N conformal theories in d dimensions containing N -component vector fields. In particular, we propose that the singlet sector of the well-known critical 3-d O ( N ) model with the ( φ a φ a ) 2 interaction is dual, in the large N limit, to the minimal bosonic theory in AdS 4 containing massless gauge fields of even spin.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7b33b800675c8bb89ded904f12e04caedcfd996c

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Citations in the corpus

Three dimensional view of the SYK/AdS duality (2017, positive): “Vector models, in general, at large N can be expressed in terms of bi-local fields, and it was proposed in [50] that these bi-local fields in fact provide a bulk construction of the dual higher spin theory [51], with the pair of coordinates in the bi-local combining to provide the coordinates of the”
Scalar fields and three-point functions in D = 3 higher spin gravity (2011, background): “An AdS3 analog of the Klebanov-Polyakov conjecture is the proposed duality [19] between Vasiliev gravity in D”
The bulk dual of SYK: cubic couplings (2017, background): “Another canonical class of AdS/CFT dualities is that between the O(N) vector model and higher spin theory [12,13].”
Higher spin gauge theory and holography: the three-point functions (2009, background): “Thus far there has been little evidence for the conjecture of [22] beyond the N =∞ (1)To be a bit more precise, the restriction to the O(N)-singlet sector in the dual boundary CFT should be implemented by gauging the O(N) global symmetry, at zero coupling.”
Higher spins in AdS5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT (2014, neutral): “The original examples were for d = 3 [77–80] while generalizations to d > 3 were studied in [81, 82, 1, 2, 5, 6] (see also [83–86] for related work).”
TASI Lectures on the Emergence of Bulk Physics in AdS/CFT (2017, background): “• Sub-AdS Locality: A general feature of exactly solvable models of holography so far, including not just the tensor network models described here but also higher spin [84] and d = 1 [85, 86] examples, is that they do not have local physics in the bulk at scales which are parametrically smaller than”
Tensionless strings from worldsheet symmetries (2015, background): “All of this has come 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.”
On Higher Spin Gauge Theory and the Critical O(N) Model (2011, background): “One of the simplest nontrivial examples of the AdS/CFT correspondence [1] is the conjectured duality [2, 3] between Vasiliev’s higher spin gauge theory in AdS4 [4] and O(N) vector models.”
Higher spin AdS3 supergravity and its dual CFT (2011, background): “This is a three dimensional version of the duality proposed by Klebanov and Polyakov [4] which states that a Vasiliev’s higher spin theory on AdS4 [5] is dual to the three dimensional O(N) vector model.”
Thermodynamics of higher spin black holes in 3D (2012, background): “The fact that a description from the viewpoint of either CFT can be obtained by simply exchanging the terms that correspond to ‘background’ and ‘deformation’, providing a simple map between the variables of the two fixed points CFT’s, is reminiscent of Legendre transform pairs of field theories with”
Partition functions of higher spin black holes and their CFT duals (2011, background): “Relatively recently, it has been realized that higher spin theories may lead to soluble examples of the AdS/CFT correspondence [3,4,5,6,7,8,9,10,11,12,13,14,15,16].”
Black holes in three dimensional higher spin gravity: a review (2012, background): “This embedding gives rise to another W -algebra known as W (2) 3 , sometimes referred to as the Polyakov-Bershadsky algebra [44,45].”
The higher spin/vector model duality (2012, background): “The holographic duality between Vasiliev’s higher spin gauge theory in AdS4 and O(N) vector models was conjectured a decade ago [1] [2] (see also [3–9] and in particular [10] for earlier closely related work).”
An introduction to the SYK model (2018, background): “uality are between N= 4 super Yang-Mills in 4 dimensions and string theory in AdS5 S 5 [77{79], and between the free/critical vector O(N) model in 3 dimensions and Vasiliev higher spin theory in AdS4 [80,81]. A comparison between SYK and these two theories is given in Table 5. One hope for SYK has b”
Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory (2012, result): “The nonlinear contribution for appropriate boundary conditions that do not break HS symmetry is believed to leave the result for correlation functions unaffected in accordance with [2, 4, 8, 16].”