Superconformal Affine Liouville Theory

Abstract

We present a superconformally invariant and integrable model based on the twisted affine Kac-Moody superalgebra ${\widehat{osp(2|2)}}^{(2)}$ 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.

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

References in corpus (3)

• Structure constants in the N=1 superoperator algebra
• Integrable N=2 Supersymmetric Field Theories
• Superconformal Affine Liouville Theory

Cited by in corpus (9)

• Is the ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$-graded sine-Gordon equation integrable?
• Supersymmetry and the KdV equations for Integrable Hierarchies with a Half-integer Gradation
• New supersymmetric generalization of the Liouville equation
• Superconformal Affine Liouville Theory
• Hamiltonian Reduction of Supersymmetric WZNW Models on Bosonic Groups and Superstrings
• N=2 Superconformal Affine Liouville Theory
• Affine extensions of ${\mathbb{Z}}_2^2$-graded $osp(1|2)$ and Virasoro algebra
• The sl(2n|2n)^(1) Super-Toda Lattices and the Heavenly Equations as Continuum Limit
• An integrable hierarchy associated with loop extension of ${\mathbb{Z}}_2^2$-graded $\mathfrak{osp}(1|2)$