A Note on AdS/SYM Correspondence on the Coulomb Branch

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We study Maldacena's conjecture and the AdS/SYM correspondence on the Coulomb branch. Several interesting aspects of this conjectured AdS/SYM correspondence on the Coulomb branch are pointed out and clarified.
LaTeX, 11 pages. Four references are added. Two remarks (a note in Sec.1, and Footnote 5) concerning M2-branes in AdS_4 and M5-branes in AdS_7 are added. A typo in Footnote 5 is corrected

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