"Old" Conformal Bootstrap on AdS: $O(N)$ symmetric scalar model

Abstract

Bootstrap equations for conformal correlators that mimic the early theory of conformal bootstrap are written down in frames of the AdS/CFT approach. The simplified version of these equations, that may be justified if Schwinger-Keldysh formalism is used in AdS/CFT instead of conventional Feynman-Witten diagrams technique, permits to calculate values of conformal dimensions in the $O(N)$ symmetric model with conformal or composite Hubbard-Stratonovich field.

21 pages. The article was replaced because of essential corrections in references [1] and [35]

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• Spinning AdS Propagators
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Cited by in corpus (2)

• UV-finite "old" conformal bootstrap on AdS: scalar case
• Spinor vertexes and bubbles in the "old" conformal bootstrap on AdS and FMH problem: Yukawa model