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arXiv · hep-th/9208048

Superconformal Affine Liouville Theory

F. Toppan·Y. -Z. Zhang
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Abstract

We present a superconformally invariant and integrable model based on the twisted affine Kac-Moody superalgebra $\hat{osp(2|2)}^{(2)}$ which is the supersymmetrization of the purely bosonic conformal affine Liouville theory recently proposed by Babelon and Bonora. Our model reduces to the super-Liouville or to the super sinh-Gordon theories under certain limit conditions and can be obtained, via hamiltonian reduction, from a superspace WZNW model with values in the corresponding affine KM supergroup. The reconstruction formulae for classical solutions are given. The classical $r$-matrices in the homogeneous grading and the exchange algebras are worked out.

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F. Toppan, Y. -Z. Zhang. 1992-08-19. Superconformal Affine Liouville Theory. https://doi.org/10.1016/0370-2693(92)90609-8

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