Three-Point Functions of Chiral Operators in D=4, $\CN=4$ SYM at Large N

Physics – High Energy Physics – High Energy Physics - Theory

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20 pages, harvmac. v2: 2 references added. v3: minor textual change

Scientific paper

We study all three-point functions of normalized chiral operators in D=4, $\CN=4$, U(N) supersymmetric Yang-Mills theory in the large $N$ limit. We compute them for small 't Hooft coupling $\lambda=g_{YM}^2N<<1$ using free field theory and at strong coupling $\lambda=g_{YM}^2>>1$ using the $AdS$/CFT correspondence. Surprisingly, we find the same answers in the two limits. We conjecture that at least for large $N$ the exact answers are independent of $\lambda $ .

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