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Three-point Green function of the stress-energy tensor in the AdS-CFT correspondence

1999; American Physical Society; Volume: 60; Issue: 2 Linguagem: Inglês

10.1103/physrevd.60.026004

1538-4500

G. Arutyunov, Sergey Frolov,

Noncommutative and Quantum Gravity Theories

We compute the three-point function of the stress-energy tensor in d-dimensional conformal field theory CFT from ${\mathrm{AdS}}_{d+1}$ gravity. For $d=4$ the coefficients of the three linearly independent conformally covariant forms entering the three-point function are exactly the same as given by the free-field computations in the $\mathcal{N}=4$ SYM theory just as expected from the known renormalization theorems. For $d=3$ and $d=6$ our results give the value of the corresponding three-point function in the theories of strongly coupled $\mathcal{N}=8$ superconformal scalar and (2,0) tensor multiplets, respectively.