Holography in the Large-JLimit of AdS/CFT Correspondence and Its Applications

We give a brief expository discussion on the holographic correspondence ofcorrelation functions in the large J limit of AdS/CFT conjecture. We firstreview our proposals on the interpretation of the so-called GKPW relation inthe large J limit or BMN limit, which are based upon a tunneling picture inrelating the AdS bulk to its boundary. Some concrete results, explicitlyconfirming our picture, are summarized. We then proceed to comment on variousissues related to this subject, such as extension of the present picture tononconformal Dp-brane backgrounds, the correlators of deformed Wilson loops,spinning-string/spin-chain correspondence, and the inclusion of higherstring-loop effects. In particular, as for the deformation of Wilson loops, wepresent a typical tunneling world-sheet solution which can be used for directderivation of the expectation values of deformed Wilson loops following ourpicture.Comment: 21 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 tex