Scalar fields and three-point functions in D = 3 higher spin gravity

By M. Ammon, Per Kraus, Eric Perlmutter. 2011

154 citations recorded by the source corpus.

A bstractWe compute boundary three-point functions involving two scalars and a gauge field of arbitrary spin in the AdS vacuum of Vasiliev’s higher spin gravity, for any deformation parameter λ. In the process, we develop tools for extracting scalar field equations in arbitrary higher spin backgrounds. We work in the context of hs[λ] ⊕ hs[λ] Chern-Simons theory coupled to scalar fields, and make efficient use of the associative lone-star product underlying the hs[λ] algebra. Our results for the correlators precisely match expectations from CFT; in particular they match those of any CFT with W∞[λ] symmetry at large central charge, and with primary operators dual to the scalar fields. As this is expected to include the ‘t Hooft limit of the WN minimal model CFT, our results serve as further evidence of the conjectured AdS/CFT duality between these two theories.

Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ed32a435891e086d74aa56f5f527c312a91dba0b

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In Applied Mathematics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Bounding the space of holographic CFTs with chaos (2016, unknown): “J H E P 1 0 ( 2 0 1 6 ) 0 6 9 higher spin charges for arbitrary s were derived in section 5 of [99].”
Higher spin black holes from CFT (2012, background): “In the large N limit, the detailed microscopics of this proposal are supported by symmetries [14], the spectrum of primaries [15], and certain correlation functions [16, 17, 18, 19, 20]; at finite N some new ingredients may be required in the bulk (or perhaps can be found within the Vasiliev theory ”
Minimal model holography (2012, methodology): “However, the interactions at the linearised level are relatively simple (see, for instance, [9]).”
Semiclassical Virasoro blocks from AdS3 gravity (2015, unknown): “[37,38]).”