N=2 Superconformal Affine Liouville Theory

Details N=2 Superconformal Affine Liouville Theory N=2 Superconformal Affine Liouville Theory

1993-03-11

arxiv.org/abs/hep-th/9303073v1

Phys.Lett. B309 (1993) 289-296

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(93)90936-C

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 ${\hat {sl(2| 2)^{(1)}}}$. We show that the higher spin $W_{1+\infty}$-type symmetry algebra of ordinary conformal affine Liouville theory extends to a $N=2\; W_{1/2 + \infty}$-type superalgebra.

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