Higher spins in AdS and twistorial holography

By S. Giombi, Xi Yin. 2010

285 citations recorded by the source corpus.

In this paper we simplify and extend previous work on three-point functions in Vasiliev’s higher spin gauge theory in AdS4. We work in a gauge in which the space-time dependence of Vasiliev’s master fields is gauged away completely, leaving only the internal twistor-like variables. The correlation functions of boundary operators can be easily computed in this gauge. We find complete agreement of the tree level three point functions of higher spin currents in Vasiliev’s theory with the conjectured dual free O(N) vector theory.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9e74c07f7e84ea767195f99963df5ebd5841087f

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Citations in the corpus

Scalar fields and three-point functions in D = 3 higher spin gravity (2011, background): “It is this last piece of evidence upon which we build in the present work, with the aim of drawing closer to a perturbative proof of the conjecture a la [15].”
On Higher Spin Gauge Theory and the Critical O(N) Model (2011, background): “The first such perturbative computation was carried out in [11, 12], and highly nontrivial agreement of three point functions between the bulk and boundary theories have been found at leading order in 1/N , for both ∆ = 1 and ∆ = 2 boundary conditions (see [5, 6, 7, 8] for earlier works, and [13, 14”
On the tensionless limit of string theory, off-shell higher spin interaction vertices and BCFW recursion relations (2010, background): “These results, apart form being remarkable in their own right, can also be extremely useful for a better understanding of String/M theory in particular in the context of AdS/CFT correspondence [32]–[33].”
Exact higher-spin symmetry in CFT: all correlators in unbroken Vasiliev theory (2012, methodology): “The computations of [18,19] were quite involved with a simple result in the end, moreover some ambiguities to be resolved have been observed at the intermediate steps.”
How higher-spin gravity surpasses the spin-two barrier (2010, methodology): “Finally, in the light of the recent progress made in amplitude calculations in ordinary relativistic quantum field theory [73, 74] as well as higher-spin gravity [20, 21], one may start raising criticism against the very assumptions behind the Fronsdal programme: the higher-derivative nature of high”
Higher spin interactions in four-dimensions: Vasiliev versus Fronsdal (2015, background): “These are the vertices that have led to formally divergent results in [5, 6].”
On the uniqueness of higher-spin symmetries in AdS and CFT (2013, methodology): “4) is totally fixed by the HS symmetry and does not require the knowledge of the full HS theory in AdS, see [75–78] for examples of computations, which are much simpler than the perturbative computations in Vasiliev theory [79,80].”
d = 3 bosonic vector models coupled to Chern-Simons gauge theories (2011, background): “This allows many detailed tests of the correspondence to be performed in this case [7, 8, 9], and it also suggests that this could be an ideal toy model for which a derivation of the AdS/CFT correspondence could be found (and perhaps then generalized to more complicated cases).”
AdS description of induced higher-spin gauge theory (2013, methodology): “dualities [21–29], and we will make further use of them in this paper.”
On graviton non-gaussianities during inflation (2011, background): “[44] Simone Giombi and Xi Yin.”
Minimal model holography (2012, result): “Recall that this was the compelling piece of evidence [67, 68] for the Klebanov–Polyakov proposal for AdS4/CFT3 [90] and its generalizations [106]; see also [109, 118, 97, 105] for earlier work.”
Partition functions of holographic minimal models (2011, background): “Klebanov and Polyakov [3] (see also [4, 5, 6] for earlier work) conjectured that the free O(N) vector model in d = 3 is dual to Vasiliev’s theory of higher spin gravity in AdS4 [7] (see for example [8, 9, 10, 11] for reviews), and that the interacting vector model at its critical point is dual to th”
An AdS_3 Dual for Minimal Model CFTs (2010, background): “…1, 1, 0N−4]⊕ [0N−3, 1, 2]⊕ 2 · [2, 0N−3, 1]⊕ [0N−3, 2, 0] ⊕ 5 · [0, 1, 0N−4, 1]⊕ 4 · [1, 0N−2] , (C.9) and H(n=0) [0,1,0N−3] = [0, 1, 0N−3] (C.10) H(n=1) [0,1,0N−3] = [2, 0N−2]⊕ [0N−3, 1, 1]⊕ [0, 1, 0N−3] (C.11) H(n=2) [0,1,0N−3] = [1, 1, 0N−4, 1]⊕ [2, 0N−2]⊕ 2 · [0N−3, 1, 1]⊕ 3 · [0, 1, 0N−3] .”
Large \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} $\end{document} = 4 holography (2013, unknown): “However, starting with the work of Klebanov-Polyakov and others, a new class of AdS/CFT dualities [1, 2, 3, 4, 5, 6, 7] have been uncovered which do not obviously arise from any embedding in string theory.”
Higher spin black holes (2011, background): “Introduction Theories of gravity coupled to massless higher spin fields [1,2,3,4,5] have received increased attention in recent years due to their appearance within the AdS/CFT correspondence [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21].”
The higher spin/vector model duality (2012, methodology): “One then transform back to the physical gauge to extract boundary correlators [13].”