OPE Selection Rules for Schur Multiplets in 4D $\mathcal{N}=2$ Superconformal Field Theories

Understand

We compute general expressions for two types of three-point functions of (semi-)short multiplets in four-dimensional $\mathcal{N}=2$ superconformal field theories.

• These (semi-)short multiplets are called "Schur multiplets" and play an important role in the study of associated chiral algebras.
• The first type of the three-point functions we compute involves two half-BPS Schur multiplets and an arbitrary Schur multiplet, while the second type involves one stress tensor multiplet and two arbitrary Schur multiplets.
• From these three-point functions, we read off the corresponding OPE selection rules for the Schur multiplets.