Explicit Construction of $N=2$ $W_3$ Current in the $N=2$ Coset $\frac{SU(3)}{SU(2)\times U(1)}$ Model

Abstract

We discuss the nonlinear extension of $N=2$ superconformal algebra by generalizing Sugawara construction and coset construction built from $N=2$ currents based on Kazama-Suzuki $N=2$ coset model $\frac{SU(3)}{SU(2)\times U(1)}$ in $N=2$ superspace. For the generic unitary minimal series $c=6(1-\frac{3}{k+3})$ where $k$ is the level of $SU(3)$ supersymmetric Wess-Zumino-Witten model, this algebra reproduces exactly $N=2$ $W_3$ algebra which has been worked out by Romans in component formalism.

10 pages

References in corpus (7)

• W-symmetry in Conformal Field Theory
• On the Landau-Ginzburg Realization of Topological Gravities
• Superspace WZW Models and Black Holes
• Free Field Realization of $N=2$ Super $W_3$ Algebra
• 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
• Lie Superalgebra and Extended Topological Conformal Symmetry in Non-critical $W_3$ Strings

Cited by in corpus (6)

• The Large N 't Hooft Limit of Kazama-Suzuki Model
• Higher Spin Currents in Wolf Space: Part I
• The Operator Product Expansion of the Lowest Higher Spin Current at Finite N
• Polynomial Fermionic Forms for the Branching Functions of the Rational Coset Conformal Field Theories $\widehat{su}(2{)}_M\times \widehat{su}(2{)}_N/\widehat{su}(2{)}_{M+N}$}
• Higher Spin Currents in Orthogonal Wolf Space
• D-branes and matrix factorisations in supersymmetric coset models