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

Sangmin Lee; Shiraz Minwalla; Mukund Rangamani; Nathan Seiberg

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

High Energy Physics - Theory 2017-09-07 v3

Authors: Sangmin Lee , Shiraz Minwalla , Mukund Rangamani , Nathan Seiberg

Abstract

We study all three-point functions of normalized chiral operators in D=4, $\mathcal{N}=4$ , 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 $\lambda$ .

Keywords

three-point functions chiral operators N=4 SYM large N AdS/CFT correspondence t Hooft coupling

Cite

@article{arxiv.hep-th/9806074,
  title  = {Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N},
  author = {Sangmin Lee and Shiraz Minwalla and Mukund Rangamani and Nathan Seiberg},
  journal= {arXiv preprint arXiv:hep-th/9806074},
  year   = {2017}
}

Comments

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

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

Abstract

Keywords

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