AdS Holography in the Penrose Limit

Abstract

We study the holographic description of string theory in a plane wave spacetime by taking the Penrose limit of the usual AdS/CFT correspondence. We consider three-point functions with two BMN operators and one non-BMN operator; the latter should go over to a perturbation of the dual CFT. On the string side we take the Penrose limit of the metric perturbation produced by the non-BMN operator, and the BMN state propagates in this perturbed background. The work of Lee, Minwalla, Rangamani, and Seiberg shows that for chiral operators the AdS three-point functions agree with those calculated in the free gauge theory. However, when this is reduced to an effective plane wave amplitude by truncating the amplitude to propagate from the AdS boundary to the Penrose geodesic, we find a puzzling mismatch. We discuss possible resolutions, and future directions.

19 pages

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Cited by in corpus (11)

• Lectures on the Plane-Wave String/Gauge Theory Duality
• Yang-Mills Correlation Functions from Integrable Spin Chains
• TASI 2003 Lectures on AdS/CFT
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• Strings in plane wave backgrounds
• Closed Timelike Curves and Holography in Compact Plane Waves
• Open+Closed String Field Theory From Gauge Fields
• Light-Cone String Field Theory in a Plane Wave Background
• Towards S matrices on flat space and pp waves from SYM
• Cubic interactions in the BMN limit of AdS(3) x S(3)
• Propagators and WKB-exactness in the plane wave limit of AdSxS