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arXiv · hep-th/9207009

Free Field Representations of Extended Superconformal Algebras

Katsushi Ito·Jens Ole Madsen·Jens Lyng Petersen
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Abstract

We study the classical and quantum $G$ extended superconformal algebras from the hamiltonian reduction of affine Lie superalgebras, with even subalgebras $G\oplus sl(2)$. At the classical level we obtain generic formulas for the Poisson bracket structure of the algebra. At the quantum level we get free field (Feigin-Fuchs) representations of the algebra by using the BRST formalism and the free field realization of the affine Lie superalgebra. In particular we get the free field representation of the $sl(2)\oplus sp(2N)$ extended superconformal algebra from the Lie superalgebra $osp(4|2N)$. We also discuss the screening operators of the algebra and the structure of singular vectors in the free field representation.

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Katsushi Ito, Jens Ole Madsen, Jens Lyng Petersen. 1992-07-03. Free Field Representations of Extended Superconformal Algebras. https://doi.org/10.1016/0550-3213(93)90117-8

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