On Higher Spin Gauge Theory and the Critical O(N) Model
142 citations recorded by the source corpus.
We show that the differences between correlators of the critical O(N) vector model in three dimensions and those of the free theory are precisely accounted for by the change of boundary condition on the bulk scalar of the dual higher spin gauge theory in AdS4. Thus, the conjectured duality between Vasiliev's theory and the critical O(N) model follows, order by order in 1/N, from the duality with free field theory on the boundary.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/dd15801bd2973143d75b096476674dce25b6618f
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In Nuclear and High Energy Physics
Citations in the corpus
- Higher spin gravity with matter in AdS3 and its CFT dual (2011, background): “The difference between m+ andm−, say at order 1/N , or one-loop in the bulk, can in principle be understood [36, 31] in terms of the tree level four-point functions, by factorizing the difference in the bulk propagators for the two boundary conditions into the product of boundary-to-bulk propagators”
- 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”
- Light-front higher-spin theories in flat space (2016, background): “Higher-spin theories in anti-de Sitter space later received a solid ground on the base of AdS/CFT correspondence [6–8] where higher-spin theories are supposed to be generic duals of free CFT’s [9–12] with certain interacting ones accessible via an alternate choice [13] of boundary conditions [9, 11,”
- d = 3 bosonic vector models coupled to Chern-Simons gauge theories (2011, methodology): “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).”
- Bootstrapping inflationary correlators in Mellin space (2019, methodology): “The split representation has proven to be an instrumental tool in the evaluation of Witten diagrams in EAdS [7–9, 43, 63–79] and is particularly suitable to obtain the Conformal Partial Wave decomposition of tree-level exchange Witten diagrams, which factorise on Harmonic functions into an integrate”
- A Duality Web in 2+1 Dimensions and Condensed Matter Physics (2016, unknown): “Also, these dual large N theories have the same gravitational dual description [29,30,16,17,18], which involves an unusual type of theory with almost massless fields of very high spin (for one reference out of many on this topic, see [31]).”
- Scalar fields and three-point functions in D = 3 higher spin gravity (2011, background): “This proposal was studied early on in [11,12,13], as well as in the recent papers [14,15,16,17,18].”
- What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, background): “Strong evidence for such a duality has also appeared for CFTs without any supersymmetry [6, 7].”
- 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].”
- A Mellin space approach to cosmological correlators (2019, methodology): “8 In Euclidean anti-de Sitter space, such a representation for propagators is often referred to in the AdS/CFT literature as the “split representation”, which has proven to be an invaluable tool in the evaluation of Witten diagrams [34–36, 66–82].”
- Higher spin realization of the DS/CFT correspondence (2011, methodology): “The duality at the IR fixed point then follows by a Legendre transform of the bulk and boundary generating functionals [50, 19, 49, 51].”
- F-theorem without supersymmetry (2011, background): “Recently, this conjecture has been subjected to some non-trivial tests [61–63], and new ideas have appeared on how to prove it [64, 65].”
- Chern–Simons theory with vector fermion matter (2011, background): “Examples of similar nature in the bulk dual of critical O(N) model have been discussed in [33].”