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arXiv · hep-th/9202058

Hamiltonian Reduction and Classical Extended Superconformal Algebras

Katsushi Ito·Jens Ole Madsen
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Abstract

We present a systematic construction of classical extended superconformal algebras from the hamiltonian reduction of a class of affine Lie superalgebras, which include an even subalgebra $sl(2)$. In particular, we obtain the doubly extended $N=4$ superconformal algebra $\tilde{A}_γ$ from the hamiltonian reduction of the exceptional Lie superalgebra $D(2|1;γ/(1-γ))$. We also find the Miura transformation for these algebras and give the free field representation. A $W$-algebraic generalization is discussed.

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Katsushi Ito, Jens Ole Madsen. 1992-02-18. Hamiltonian Reduction and Classical Extended Superconformal Algebras. https://doi.org/10.1016/0370-2693(92)90012-s

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