(Non-)perturbative tests of the AdS/CFT correspondence

Physics – High Energy Physics – High Energy Physics - Theory

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9 pages, Latex, style file espcrc2.sty. Typos corrected, references added. Talk given at the D.V. Volkov Memorial Conference `

Scientific paper

10.1016/S0920-5632(01)01536-5

I summarize perturbative and non-perturbative field theory tests of the holographic correspondence between type IIB superstring on AdS_5xS^5 and N=4 SYM theory. The holographic duality between D-instantons and YM instantons is briefly described. Non renormalization of two- and three-point functions of CPO's and their extremal and next-to-extremal correlators are then reviewed. Finally, partial non-renormalization of four-point functions of lowest CPO's is analyzed in view of the interpretation of short distance logarithmic behaviours in terms of anomalous dimensions of unprotected operators.

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