Holography in the Large J Limit of AdS/CFT Correspondence and Its Applications

Abstract

We give a brief expository discussion on the holographic correspondence of correlation functions in the large J limit of AdS/CFT conjecture. We first review our proposals on the interpretation of the so-called GKPW relation in the large J limit or BMN limit, which are based upon a tunneling picture in relating the AdS bulk to its boundary. Some concrete results, explicitly confirming our picture, are summarized. We then proceed to comment on various issues related to this subject, such as extension of the present picture to nonconformal Dp-brane backgrounds, the correlators of deformed Wilson loops, spinning-string/spin-chain correspondence, and the inclusion of higher string-loop effects. In particular, as for the deformation of Wilson loops, we present a typical tunneling world-sheet solution which can be used for direct derivation of the expectation values of deformed Wilson loops following our picture.

arXiv comment21 pages, written version of a talk given at the symposium "Frontiers of Quantum Science", YITP, Kyoto, Feb. 2005, corrected typos and some minor revisions of text

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• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Three-point functions in planar N=4 super Yang-Mills Theory for scalar operators up to length five at the one-loop order
• Holography of Wilson-Loop Expectation Values with Local Operator Insertions
• Correlators of massive string states with conserved currents
• A tunneling picture of dual giant Wilson loop