Three point correlators of stress tensors in maximally supersymmetric conformal theories in D = 3 and D = 6
Nov, 1999
17 pages
Published in:
- Nucl.Phys.B 578 (2000) 139-152
e-Print:
- hep-th/9911135 [hep-th]
Report number:
- UAHEP-995,
- OHSTPY-HEP-T-99-023
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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 3-point correlators for a single d=3 and d=6 multiplet differ from the "strong-coupling" AdS_4 and AdS_7 supergravity predictions by the factors 4\sqrt2 \over 3\pi}N^{3/2} and respectively. These are the same factors as found earlier in hep-th/9703040 in the comparison of the brane free field theory and the 11-d supergravity predictions for the absorption cross-sections of longitudinally polarized gravitons by multiple 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 - field theory: conformal
- dimension: 3
- dimension: 6
- two-point function
- n-point function: 3
- tensor: energy-momentum
- supersymmetry
- supergravity
- bibliography
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