Holography at string field theory level: Conformal three point functions of BMN operators

Abstract

A general framework for applying the pp-wave approximation to holographic calculations in the AdS/CFT correspondence is proposed. By assuming the existence and some properties of string field theory (SFT) on $Ad{S}_5\times S^5$ background, we extend the holographic ansatz proposed by Gubser, Klebanov, Polyakov and Witten to SFT level. We extract relevant information of assumed SFT on $Ad{S}_5\times S^5$ from its approximation, pp-wave SFT. As an explicit example, we perform string theoretic calculations of the conformal three point functions of the BMN operators. The results agree with the previous calculations in gauge theory. We identify a broad class of field redefinitions, including known ambiguities of the interaction Hamiltonian, which does not affect the results.

1+12 pages

References in corpus (3)

• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• Holographic cubic vertex in the pp-wave
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography I : Bosonic Excitations

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• Comments on World-Sheet Form Factors in AdS/CFT
• Spectral properties in supersymmetric matrix models
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• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
• Three-point functions of BMN operators at weak and strong coupling II. One loop matching
• Three-point functions at strong coupling in the BMN limit
• On membrane interactions and a three-dimensional analog of Riemann surfaces