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Free Field Representations of Extended Superconformal Algebras | | Katsushi Ito
; Jens Ole Madsen
; Jens Lyng Petersen
; | | Date: |
3 Jul 1992 | | Journal: | Nucl. Phys. B398 (1993) 425 | | Subject: | hep-th | | Abstract: | We study the classical and quantum $G$ extended superconformal algebras from the hamiltonian reduction of affine Lie superalgebras, with even subalgebras $Goplus sl(2)$. 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. | | Source: | arXiv, hep-th/9207009 | | Other source: | [GID 764465] hep-th/9207009 | | Services: | Forum | Review | PDF | Favorites | |
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