Free Superfield Realization of N=2 Quantum Super W_{3} Algebra

TL;DR

This paper presents a free superfield realization of the nonlinear extended N=2 super W_3 algebra, involving chiral superfields and Kac-Moody algebra structures, advancing understanding of supersymmetric algebra representations.

Contribution

It provides a novel free superfield realization of the N=2 quantum super W_3 algebra using chiral superfields and Kac-Moody algebra, expanding algebraic construction methods.

Findings

Explicit free superfield realization derived.

Involves two N=2 chiral fermionic superfields.

Utilizes N=2 complex U(1) Kac-Moody algebra.

Abstract

We rewrite $ N=2$ quantum super $W_{3}$ algebra, a nonlinear extended $N=2$ super Virasoro algebra, containing one additional primary superfield of dimension $2$ which has no $U(1)$ charge, besides the super stress energy tensor of dimension $1$ in $N=2$ superspace. The free superfield realization of this algebra is obtained by two $N=2$ chiral fermionic superfields of dimension $1/2$ satisfying $N=2$ complex $ U(1)$ Kac-Moody algebras.