BMN operators with a scalar fermion pair and operator mixing in N=4 Super Yang-Mills Theory

TL;DR

This paper investigates the mixing patterns of BMN operators with scalar impurities and scalar fermion pairs in N=4 Super Yang-Mills Theory, calculating effective vertices to understand their interactions at the planar level.

Contribution

It provides explicit calculations of matrix model effective vertices and detailed mixing patterns for BMN operators involving scalar and fermion pairs.

Findings

Explicit mixing patterns for BMN operators identified.

Effective vertices calculated to order g^3.

Mixing at planar level clarified.

Abstract

The mixings between BMN operators with two scalar impurities and those with a scalar fermion pair are discussed to the lowest order at planar level. For this purpose, matrix model effective vertices are calculated to O(g^3). All the mixing patterns are explicitly obtained.