Lessons from crossing symmetry at large N

Understand

We consider the four-point correlator of the stress tensor multiplet in N=4 SYM.

• We construct all solutions consistent with crossing symmetry in the limit of large central charge c ~ N^2 and large g^2 N.
• While we find an infinite tower of solutions, we argue most of them are suppressed by an extra scale \Delta_{gap} and are consistent with the upper bounds for the scaling dimension of unprotected operators observed in the numerical superconformal bootstrap at large central charge.
• These solutions organize as a double expansion in 1/c and 1/\Delta_{gap}.