Holographic Reformulation of String Theory on AdS_5 x S^5 background in the PP-wave limit

Abstract

The recent proposal on the correspondence between the $\mathcal{N}=4$ super Yang-Mills theory and string theory in the Penrose limit of the AdS${}_5\times$S${}^5$ geometry involves a few puzzles from the viewpoint of holographic principle, especially in connection with the interpretation of times. To resolve these puzzles, we propose to interpret the PP-wave strings on the basis of tunneling null geodesics connecting boundaries of the AdS geometry. Our approach predicts a direct and systematic identification of the S-matrix of Euclidean string theory in the bulk with the short-distance structure of correlation functions of super Yang-Mills theory on the AdS boundary, as an extension of the ordinary relation in supergravity-CFT correspondence. Holography requires an infinite number of contact terms for interaction vertices of string field theory and constrains their forms in a way consistent with supersymmetry.

Section 3 is revised, and a note added explaining the status of our prediction

References in corpus (2)

• PP-wave string interactions from perturbative Yang-Mills theory
• Realizations of Conformal and Heisenberg Algebras in PP-wave-CFT Correspondence

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