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2016

Unitarity and positivity constraints for CFT at large central charge

Alday, Luis F., Bissi, Agnese

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We consider the four-point correlator of the stress tensor multiplet in ${\cal N}=4$ SYM in the limit of large central charge $c \sim N^2$.

For finite values of $g^2N$ single-trace intermediate operators arise at order $1/c$ and this leads to specific poles in the Mellin representation of the correlator.
The sign of the residue at these poles is fixed by unitarity.
We consider solutions consistent with crossing symmetry and this pole structure.

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