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

10 pages, ITP-SB-93-18

References in corpus (5)

• W-symmetry in Conformal Field Theory
• Superfield Realizations of $N=2$ Super-$W_3$
• N=2 supersymmetric W-algebras
• Free Field Realization of $N=2$ Super $W_3$ Algebra
• A classical N=4 super W_3 algebra

Cited by in corpus (7)

• The Large N 't Hooft Limit of Kazama-Suzuki Model
• Dualities from higher-spin supergravity
• The Operator Product Expansion of the Lowest Higher Spin Current at Finite N
• On the Landau-Ginzburg Realization of Topological Gravities
• Extension of the N=2 Virasoro algebra by two primary fields of dimension 2 and 3
• Explicit Construction of $N=2$ $W_3$ Current in the $N=2$ Coset $\frac{SU(3)}{SU(2)\times U(1)}$ Model
• Explicit field realizations of W algebras