BMN operators with vector impurities, Z_2 symmetry and pp-waves

TL;DR

This paper computes three-point function coefficients for BMN operators with vector impurities, revealing that Z_2 symmetry in pp-wave string theory is not evident in field theory correlators, and shows how these coefficients relate to scalar cases.

Contribution

It introduces a method to derive vector impurity three-point coefficients from scalar ones, highlighting the non-manifest Z_2 symmetry in field theory.

Findings

Coefficients for vector impurities relate to scalar coefficients by exchanging symmetric-traceless and singlet representations.

Z_2 symmetry is not manifest in field theory three-point correlators.

The relation simplifies calculations of vector impurity correlators.

Abstract

We calculate the coefficients of three-point functions of BMN operators with two vector impurities. We find that these coefficients can be obtained from those of the three-point functions of scalar BMN operators by interchanging the coefficient for the symmetric-traceless representation with the coefficient for the singlet. We conclude that the Z_2 symmetry of the pp-wave string theory is not manifest at the level of field theory three-point correlators.