Explicit construction of N = 2 W3 current in the N = 2 coset SU(3) SU(2)×U(1) model

Changhyun Ahn

doi:10.1016/0370-2693(95)00144-A

Explicit construction of N = 2 W₃ current in the N = 2 coset SU(3) SU(2)×U(1) model

Changhyun Ahn

Department of Physics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We discuss the nonlinear extension of N = 2 superconformal algebra by generalizing Sugawara construction and coset construction built from N = 2 current algebra based on Kazama-Suzuki N = 2 coset model SU(3) SU(2)×U(1) in N = 2 superspace. For the generic unitary minimal series c = 6(1 - 3 k+3) where k is the leve of SU(3) supersymmetric Wess-Zumino-Witten model, this algebra reproduces exactly N = 2 W₃ algebra which has been worked out by Romans in component formalism.

Original language	English
Pages (from-to)	77-83
Number of pages	7
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	348
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(95)00144-A
State	Published - 30 Mar 1995

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abstract = "We discuss the nonlinear extension of N = 2 superconformal algebra by generalizing Sugawara construction and coset construction built from N = 2 current algebra based on Kazama-Suzuki N = 2 coset model SU(3) SU(2)×U(1) in N = 2 superspace. For the generic unitary minimal series c = 6(1 - 3 k+3) where k is the leve of SU(3) supersymmetric Wess-Zumino-Witten model, this algebra reproduces exactly N = 2 W3 algebra which has been worked out by Romans in component formalism.",

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N2 - We discuss the nonlinear extension of N = 2 superconformal algebra by generalizing Sugawara construction and coset construction built from N = 2 current algebra based on Kazama-Suzuki N = 2 coset model SU(3) SU(2)×U(1) in N = 2 superspace. For the generic unitary minimal series c = 6(1 - 3 k+3) where k is the leve of SU(3) supersymmetric Wess-Zumino-Witten model, this algebra reproduces exactly N = 2 W3 algebra which has been worked out by Romans in component formalism.

AB - We discuss the nonlinear extension of N = 2 superconformal algebra by generalizing Sugawara construction and coset construction built from N = 2 current algebra based on Kazama-Suzuki N = 2 coset model SU(3) SU(2)×U(1) in N = 2 superspace. For the generic unitary minimal series c = 6(1 - 3 k+3) where k is the leve of SU(3) supersymmetric Wess-Zumino-Witten model, this algebra reproduces exactly N = 2 W3 algebra which has been worked out by Romans in component formalism.

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ER -

Explicit construction of N = 2 W3 current in the N = 2 coset SU(3) SU(2)×U(1) model

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Explicit construction of N = 2 W₃ current in the N = 2 coset SU(3) SU(2)×U(1) model