Superconformal blocks for stress-tensor and chiral operators for 4D $\mathcal{N}=2$ superconformal field theories

TL;DR

This paper computes superconformal partial waves for mixed correlators involving stress-tensor and chiral operators in 4D ${ m extbf{N}=2}$ superconformal field theories, aiding bootstrap analyses.

Contribution

It introduces a method to compute superconformal blocks for mixed correlators using superembedding and supershadow formalism, advancing bootstrap studies in 4D ${ m extbf{N}=2}$ theories.

Findings

Computed superconformal partial waves for specific correlators.

Used superembedding and supershadow formalisms for calculations.

Provides essential ingredients for conformal bootstrap in ${ m extbf{N}=2}$ SCFTs.

Abstract

We have computed superconformal partial wave for the mixed correlators involving $J$, $\phi$ and $\phi^\dagger$, where $J$ is the superconformal primary of 4D ${\mathcal N} = 2$ stress-tensor multiplet, $\phi$ and $\phi^\dagger$ are chiral and anti-chiral scalars respectively in the channel $\langle J J \phi \phi^\dagger \rangle$. We have used the superembedding formalism and computed conformal partial wave corresponding to the exchange of long multiplet using the supershadow approach. This study provides part of the ingredients necessary for the study of conformal bootstrap for mixed correlator in 4D ${\mathcal N} = 2$ superconformal field theories.