N=2 Superconformal Affine Liouville Theory

Abstract

We present a new supersymmetric integrable model: the $N=2$ superconformal affine Liouville theory. It interpolates between the $N=2$ super Liouville and $N=2$ super sine-Gordon theories and possesses a Lax representation on the complex affine Kac-Moody superalgebra $\widehat{sl(2|2{)}^{(1)}}$. We show that the higher spin $W_{1+\infty }$-type symmetry algebra of ordinary conformal affine Liouville theory extends to a $N=2W_{1/2+\infty }$-type superalgebra.

12 pages, latex, preprint ENSLAPP-L-422/93 and JINR E2-93-72

References in corpus (3)

• S-matrix of N=2 Supersymmetric Sine-Gordon Theory
• Integrable N=2 Supersymmetric Field Theories
• Superconformal Affine Liouville Theory

Cited by in corpus (4)

• 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
• Integrable ${\mathbb{Z}}_2^2$-graded Extensions of the Liouville and Sinh-Gordon Theories
• The sl(2n|2n)^(1) Super-Toda Lattices and the Heavenly Equations as Continuum Limit