Superconformal Affine Liouville Theory

Physics – High Energy Physics – High Energy Physics - Theory

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12 pages, standard Latex file, Bonn Univ. preprint BONN-HE-92-16 (to appear in Phys.Lett.B)

Scientific paper

10.1016/0370-2693(92)90609-8

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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