Partial non-renormalisation of the stress-tensor four-point function in N=4 SYM and AdS/CFT
Abstract
We show that, although the correlator of four stress-tensor multiplets in N=4 SYM is known to have radiative corrections, certain linear combinations of its components are protected from perturbative renormalisation and remain at their free-field values. Our argument uses Intriligator's insertion formula, and includes a proof that the possible contact term contributions cannot change the form of the amplitudes. Combining this new non-renormalisation theorem with Maldacena's conjecture allows us to make a prediction for the structure of the corresponding correlator in AdS supergravity. This is verified by first considerably simplifying the strong-coupling expression obtained by recent supergravity calculations, and then showing that it does indeed exhibit the expected structure.Keywords
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