## Three-point correlators of stress tensors in maximally-supersymmetric conformal theories in d = 3 and d = 6

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**Citation: **

*F. Bastianelli, S. Frolov and A. A. Tseytlin, Three-point correlators of stress tensors in maximally-supersymmetric conformal theories in d = 3 and d = 6, Nuclear Physics B, 578, 1-2, 2000, 139-152*

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**Abstract: **

We consider free superconformal theories of N = 8 scalar multiplet in d = 3 and
(2, 0) tensor multiplet in d = 6 and compute 2-point and 3-point correlators of their
stress tensors. The results for the 2-point and the 3-point correlators for a single d = 3
and d = 6 multiplet differ from the ?strong-coupling? AdS4 and AdS7 supergravity
predictions by the factors 4p2
3 N3/2 and 4N3 respectively. These are the same factors
as found earlier in hep-th/9703040 in the comparison of the brane free field theory and
the d = 11 supergravity predictions for the absorption cross-sections of longitudinally
polarized gravitons by N M2 and M5 branes. While the correspondence of the results
for the cross-sections and 2-point functions was expected on the basis of unitarity, the
fact that the same coefficients appear in the ratio of the free-theory and supergravity
3-point functions is non-trivial. Thus, like in the d = 4 SYM case, in both d = 3 and
d = 6 theories the ratio of the 3-point and 2-point correlators < TTT > / < TT > is
exactly the same in the free field theory and in the interacting CFT as described (to
leading order in large N) by the 11-dimensional supergravity on AdSd+1 ? S10?d.

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**Author's Homepage: **

http://people.tcd.ie/frolovs
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**Description: **

PUBLISHED
**Author:**FROLOV, SERGEY

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**Publisher: **

Elsevier
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**Type of material: **

Journal Article#####
**Series/Report no: **

Nuclear Physics B;578;

1-2;

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**Availability: **

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