Embedding of rank two supercharges in the superconformal algebra

TL;DR

This paper explores how rank-two supercharges are embedded within the superconformal algebra, providing a systematic method to explicitly construct the algebra's generators.

Contribution

It introduces an embedding of rank-two antisymmetric supercharges into the superconformal algebra and presents an algorithm for explicit generator construction.

Findings

Successful embedding of supercharges into superconformal algebra

Explicit construction algorithm for algebra generators

Enhanced understanding of superalgebra structure

Abstract

We discuss an embedding of $su(n)$ rank-two antisymmetric supercharges in the $su(2,2|d_n)$ superalgebra, where $d_n=n(n-1)/2$. We describe an algorithm to construct the explicit form of the generators of the superalgebra.