Three point functions in higher spin AdS_3 holography with 1/N corrections

Abstract

We examine three point functions with two scalar operators and a higher spin current in 2d W_N minimal model to the next non-trivial order in 1/N expansion. The minimal model was proposed to be dual to a 3d higher spin gauge theory, and 1/N corrections should be interpreted as quantum effects in the dual gravity theory. We develop a simple and systematic method to obtain three point functions by decomposing four point functions of scalar operators with Virasoro conformal blocks. Applying the method, we reproduce known results at the leading order in 1/N and obtain new ones at the next leading order. As confirmation, we check that our results satisfy relations among three point functions conjectured before.

arXiv comment30 pages, no figures, minor changes, a reference added, published version

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• Three-dimensional de Sitter holography and bulk correlators at late time
• Quantum Correction to Chaos in Schwarzian Theory
• Late-time correlation functions in dS${}_3$/CFT${}_2$ correspondence
• Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large $\mathcal{N}=4$ Holography
• Wolf Space Coset Spectrum in the Large $\mathcal{N}=4$ Holography