Worldsheet Properties of Extremal Correlators in AdS/CFT

Understand

We continue to investigate planar four point worldsheet correlators of string theories which are conjectured to be duals of free gauge theories.

• We focus on the extremal correlators <Tr(Z^{J_1}(x)) Tr(Z^{J_2}(y)) Tr(Z^{J_3}(z)) Tr(\bar{Z}^{J}(0))> of $N = 4$ SYM theory, and construct the corresponding worldsheet correlators in the limit when the $J_i >> 1$.
• The worldsheet correlator gets contributions, in this limit, from a whole family of Feynman graphs.
• We find that it is supported on a {\it curve} in the moduli space parametrised by the worldsheet crossratio.