Loop Corrections to Supergravity on $Ad{S}_5\times S^5$

Abstract

We consider the four-point correlator of the stress-energy tensor multiplet in $\mathcal{N}=4$ SYM. In the planar limit and at large 't Hooft coupling such correlator is given by the corresponding holographic correlation function in IIB supergravity on $Ad{S}_5\times S^5$. We consider subleading corrections in the number of colours, i.e. order $1/N^4$, at large 't Hooft coupling. This corresponds to loop corrections to the supergravity result. Consistency conditions, most notably crossing symmetry, constrain the form of such corrections and lead to a complete determination of the spectrum of leading twist intermediate operators.

6 pages, minor changes, added references

References in corpus (5)

• Holography from Conformal Field Theory
• Mellin amplitudes for $Ad{S}_5\times S^5$
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• Four point function of $\mathcal{N}=4$ stress-tensor multiplet at strong coupling
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