The higher spin/vector model duality

By S. Giombi, Xi Yin. 2012

341 citations recorded by the source corpus.

This paper is mainly a review of the dualities between Vasiliev’s higher spin gauge theories in AdS4 and three dimensional large N vector models, with focus on the holographic calculation of correlation functions of higher spin currents. We also present some new results in the computation of parity odd structures in the three point functions in parity violating Vasiliev theories. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Higher spin theories and holography’.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e75f2aa31b3c5843baf18c4daf9678cb3038ba7f

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Citations in the corpus

Elements of Vasiliev theory (2014, background): “There is a number of reviews devoted to different aspects of higher-spin theory, [38, 72–75].”
Minimal model holography (2012, methodology): “(The general Vasiliev approach to constructing higher spin theories in diverse dimensions and its relevance for the AdS/CFT correspondence is reviewed elsewhere in this volume, for instance in the articles of Giombi and Yin [69] and Vasiliev [115].”
AdS description of induced higher-spin gauge theory (2013, background): “The ability to change the boundary conditions for the spin 1 field makes it plausible [31] that the type A or B Vasiliev theory in AdS4 with the electric boundary condition on the spin 1 field is dual to 3-dimensional CFTs where the U(1) gauge field is coupled to a large number N of conformally inva”
Baryons, monopoles and dualities in Chern-Simons-matter theories (2015, background): “be dual to the Vasiliev theory with a theta angle related to the SU(N) ’t Hooft coupling by θ = π2λ [9, 3, 44].”
Comments on global symmetries, anomalies, and duality in (2 + 1)d (2017, background): “Recently, a convergence of ideas from condensed matter physics [1-6], supersymmetric quantum field theory [7-19], and string theory [20-34] has led to a large set of new boson/fermion dualities [35-45] and new fermion/fermion dualities [46,38,39,47,45].”
Interpolating between a and F (2014, background): “Among the motivations for studying the sphere partition functions for the ddimensional Euclidean CFTs where the dynamical fields transform in the vector representation of O(N) or U(N), is their conjectured duality with the interacting higher spin theories in AdSd+1 [52–55] (for a review, see [56]).”
Entanglement Entropy at Large Central Charge (2013, neutral): “This is similar to the situation in 2d CFT, so it is plausible that a Liouville-like classical theory connects these theories to their higher-spin gravity duals (see [47] and references therein).”
One loop tests of higher spin AdS/CFT (2013, background): “Calculation of correlation functions at leading order in N provides evidence for these generalized vectorial AdS/CFT dualities [24].”
CMB from CFT (2012, background): “ universal approach to perturbation theory. For example, even in the Vasiliev theory, which involves an inﬁnite number of derivatives, this is precisely how correlation functions are calculated. (See [19], sections 4.2 and 4.3.) – 29 – where the ...indicate terms that come with lower powers of ηand ”
The thermal free energy in large N Chern-Simons-matter theories (2012, background): “• It was proposed [1, 2] that these theories (as well as various supersymmetric extensions [3]) have a gravity dual given by a parity breaking version of Vasiliev’s higher-spin theory on AdS4 [9, 10], with a parity-breaking parameter θ that is a function of the ’t Hooft coupling λ (the exact gauge t”
Quartic AdS interactions in higher-spin gravity from Conformal Field Theory (2015, neutral): “This duality has been verified at tree level for 3-point Witten diagrams in AdS4 [43–45] (see also [46, 47] for an early test), and at the level of one-loop vacuum energy [48–51].”
Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory (2012, background): “e scalar ﬁeld of the HS multiplet i.e. B(0|X). Propagator does not depend on any other quantities but described above, it satisﬁes (2.6) in the bulk and behaves as a conserved current on the boundary [33] ∂2 ∂ηα∂ηβ ∂ ∂xαβ B(X,Y |x,η) = 0. (3.2) In [18]1 the propagator was found in Poincare coordinat”
Higher spin interactions in four-dimensions: Vasiliev versus Fronsdal (2015, methodology): “In particular, only a small subset of the correlation functions that are entirely fixed by the HS algebra can be rigorously derived, which was done in [5, 7].”
Bounding the space of holographic CFTs with chaos (2016, background): “Other than string theory, these include the Vasiliev theories [24–26]; see [27, 28] for recent reviews.”
Holographic Quantum Matter (2016, background): “Thus, while vector large N limits do admit interesting holographic duals [287], they will not be further discussed here.”
Chern Simons duality with a fundamental boson and fermion (2013, background): “vable’ in the large N limit. We now have explicit formulae for the spectrum of single sum operators, three point correlation functions and thermal partition functions for some of these theories – 1 – [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16]. These exact results have already led to the discovery o”