Large $N$ conformal bootstrap and chirality

Abstract

We use the large $N$ critical point formalism to examine the interplay of supersymmetry and chiral symmetry on the location or otherwise of multiple zetas in the renormalization group functions of several related field theories. In particular we determine that the anomalous dimension of the matter field of the Lagrangian corresponding to the bosonic sector of the $O(N)$ Wess-Zumino is free of multiple zetas to $O(1/N^3)$.