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A construction of N=2 and centerless N=4 superconformal fields via affine superalgebras

Wakimoto, M

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Abstract

In this note we give a new construction of the N=2 superconformal algebra using currents of the affine superalgebra $\\hat{sl}(2|1)$ and free bosonic fields, and also the N=4 superconformal algebra without central charge in terms of currents of $\\hat{sl}(2|2)$ and free bosonic fields.

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What this paper is about

In this note we give a new construction of the N=2 superconformal algebra using currents of the affine superalgebra $\\hat{sl}(2|1)$ and free bosonic fields, and also the N=4 superconformal algebra without central charge in terms of currents of $\\hat{sl}(2|2)$ and free bosonic fields.

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Available abstract

In this note we give a new construction of the N=2 superconformal algebra using currents of the affine superalgebra $\\hat{sl}(2|1)$ and free bosonic fields, and also the N=4 superconformal algebra without central charge in terms of currents of $\\hat{sl}(2|2)$ and free bosonic fields.

Key concepts: Superalgebra, Superconformal algebra, N = 2 superconformal algebra, Affine transformation, Mathematics, Algebra over a field, Central charge, Pure mathematics

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