Free Field Realization of $N=2$ Super $W_3$ Algebra

Abstract

We study the quantum $N=2$ super-$W_3$ algebra using the free field realization, which is obtained from the supersymmetric Miura transformation associated with the Lie superalgebra $A(2|1)$. We compute the full operator product expansions of the algebra explicitly. It is found that the results agree with those obtained by the OPE method.

10 pages, latex, NBI-HE-93-08

References in corpus (5)

• W-symmetry in Conformal Field Theory
• New Realisations of W Algebras and W Strings
• A Note of W-algebra Realisations
• On Realisations of W Algebras
• Anomaly Freedom and Realisations for Super-$W_3$ Strings

Cited by in corpus (8)

• The Large N 't Hooft Limit of Kazama-Suzuki Model
• Symmetries of Holographic Super-Minimal Models
• The Operator Product Expansion of the Lowest Higher Spin Current at Finite N
• Dualities from higher-spin supergravity
• Extension of the N=2 Virasoro algebra by two primary fields of dimension 2 and 3
• Free Superfield Realization of N=2 Quantum Super W_{3} Algebra
• Explicit Construction of $N=2$ $W_3$ Current in the $N=2$ Coset $\frac{SU(3)}{SU(2)\times U(1)}$ Model
• On the Super Field Realization of Super Casimir Wa(n)-Algebras