# 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.

## Key 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.